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44143921049382 = 2347119283381221
BaseRepresentation
bin10100000100110000011101…
…01110111010111100100110
312210022010011202110112120000
422002120032232322330212
521241223222242040012
6233515234245522130
712204202341560040
oct1202301656727446
9183263152415500
1044143921049382
111307a37166a260
124b4b479a13346
131b829a53c303b
14ac8811ac8a90
15518440c75ddc
hex28260ebbaf26

44143921049382 has 160 divisors (see below), whose sum is σ = 123336308392704. Its totient is φ = 11464688289600.

The previous prime is 44143921049369. The next prime is 44143921049411. The reversal of 44143921049382 is 28394012934144.

44143921049382 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 3 + 9 + 210 + 49 + 382 = 666.

44143921049382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441439210493822 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115605532 + ... + 115986752.

Almost surely, 244143921049382 is an apocalyptic number.

44143921049382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44143921049382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61668154196352).

44143921049382 is an abundant number, since it is smaller than the sum of its proper divisors (79192387343322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44143921049382 is a wasteful number, since it uses less digits than its factorization.

44143921049382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390536 (or 390527 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 44143921049382 in words is "forty-four trillion, one hundred forty-three billion, nine hundred twenty-one million, forty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 9283 12474 18566 27849 55698 64981 83547 102113 129962 167094 194943 204226 250641 306339 381221 389886 501282 584829 612678 714791 751923 762442 919017 1143663 1169658 1429582 1503846 1754487 1838034 2144373 2287326 2668547 2757051 3430989 3508974 4193431 4288746 5263461 5337094 5514102 6433119 6861978 8005641 8271153 8386862 10292967 10526922 12580293 12866238 16011282 16542306 19299357 20585934 24016923 25160586 29354017 30878901 37740879 38598714 48033846 57898071 58708034 61757802 72050769 75481758 88062051 113222637 115796142 144101538 176124102 216152307 226445274 264186153 339667911 432304614 528372306 679335822 792558459 1585116918 2377675377 3538874543 4755350754 7077749086 10616623629 21233247258 24772121801 31849870887 38927619973 49544243602 63699741774 74316365403 77855239946 95549612661 116782859919 148632730806 191099225322 222949096209 233565719838 272493339811 286648837983 350348579757 445898192418 544986679622 573297675966 668847288627 700697159514 817480019433 1051045739271 1337694577254 1634960038866 2006541865881 2102091478542 2452440058299 3153137217813 4013083731762 4904880116598 6306274435626 7357320174897 14714640349794 22071960524691 44143921049382