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444212041140 = 223357216788059
BaseRepresentation
bin1100111011011010001…
…10011101010110110100
31120110120220022202201000
412131231012131112310
524234221240304030
6540022421403300
744043663023100
oct6355506352664
91513526282630
10444212041140
1116143113127a
1272111869530
1332b7322422a
14176ddd1c900
15b84d08c860
hex676d19d5b4

444212041140 has 144 divisors (see below), whose sum is σ = 1607624625600. Its totient is φ = 101534174784.

The previous prime is 444212041129. The next prime is 444212041157. The reversal of 444212041140 is 41140212444.

It is a happy number.

444212041140 is a `hidden beast` number, since 4 + 442 + 1 + 204 + 1 + 14 + 0 = 666.

It is a super-3 number, since 3×4442120411403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8367570 + ... + 8420489.

It is an arithmetic number, because the mean of its divisors is an integer number (11164059900).

Almost surely, 2444212041140 is an apocalyptic number.

It is an amenable number.

444212041140 is an abundant number, since it is smaller than the sum of its proper divisors (1163412584460).

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

444212041140 is a wasteful number, since it uses less digits than its factorization.

444212041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788091 (or 16788076 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 444212041140 its reverse (41140212444), we get a palindrome (485352253584).

The spelling of 444212041140 in words is "four hundred forty-four billion, two hundred twelve million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 16788059 33576118 50364177 67152236 83940295 100728354 117516413 151092531 167880590 201456708 235032826 251820885 302185062 335761180 352549239 453277593 470065652 503641770 587582065 604370124 705098478 755462655 822614891 906555186 1007283540 1057647717 1175164130 1410196956 1510925310 1645229782 1762746195 1813110372 2115295434 2266387965 2350328260 2467844673 3021850620 3172943151 3290459564 3525492390 4113074455 4230590868 4532775930 4935689346 5288238585 6345886302 7050984780 7403534019 8226148910 9065551860 9871378692 10576477170 12339223365 12691772604 14807068038 15864715755 16452297820 21152954340 22210602057 24678446730 29614136076 31729431510 37017670095 44421204114 49356893460 63458863020 74035340190 88842408228 111053010285 148070680380 222106020570 444212041140