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44242103233000 = 2353671062762137
BaseRepresentation
bin10100000111100111010101…
…10110001110100111101000
312210122111121020120020112001
422003303222312032213220
521244330311411424000
6234032312554500344
712214246363425241
oct1203635266164750
9183574536506461
1044242103233000
1113107a74981a72
124b664baa346b4
131b8c02141518a
14acd487555cc8
1551ac8a5d846a
hex283cead8e9e8

44242103233000 has 128 divisors (see below), whose sum is σ = 105083271895680. Its totient is φ = 17430788390400.

The previous prime is 44242103232973. The next prime is 44242103233021. The reversal of 44242103233000 is 33230124244.

It is a self number, because there is not a number n which added to its sum of digits gives 44242103233000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711977932 + ... + 712040068.

It is an arithmetic number, because the mean of its divisors is an integer number (820963061685).

Almost surely, 244242103233000 is an apocalyptic number.

44242103233000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44242103233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52541635947840).

44242103233000 is an abundant number, since it is smaller than the sum of its proper divisors (60841168662680).

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

44242103233000 is a wasteful number, since it uses less digits than its factorization.

44242103233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72852 (or 72838 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 44242103233000 its reverse (33230124244), we get a palindrome (44275333357244).

The spelling of 44242103233000 in words is "forty-four trillion, two hundred forty-two billion, one hundred three million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 6700 8375 10627 13400 16750 21254 33500 42508 53135 62137 67000 85016 106270 124274 212540 248548 265675 310685 425080 497096 531350 621370 712009 1062700 1242740 1328375 1424018 1553425 2125400 2485480 2656750 2848036 3106850 3560045 4163179 5313500 5696072 6213700 7120090 7767125 8326358 10627000 12427400 14240180 15534250 16652716 17800225 20815895 28480360 31068500 33305432 35600450 41631790 62137000 71200900 83263580 89001125 104079475 142401800 166527160 178002250 208158950 356004500 416317900 520397375 660329899 712009000 832635800 1040794750 1320659798 2081589500 2641319596 3301649495 4163179000 5282639192 6603298990 13206597980 16508247475 26413195960 33016494950 44242103233 66032989900 82541237375 88484206466 132065979800 165082474750 176968412932 221210516165 330164949500 353936825864 442421032330 660329899000 884842064660 1106052580825 1769684129320 2212105161650 4424210323300 5530262904125 8848420646600 11060525808250 22121051616500 44242103233000