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140233120104 = 233711118763929
BaseRepresentation
bin1000001010011010001…
…0111001100101101000
3111101222002100121102010
42002212202321211220
54244144134320404
6144231110235520
713063051565520
oct2024642714550
9441862317363
10140233120104
1154521a38790
1223217955ba0
13102bac7449c
146b04592680
1539ab41e189
hex20a68b9968

140233120104 has 128 divisors (see below), whose sum is σ = 437465318400. Its totient is φ = 36392931840.

The previous prime is 140233120103. The next prime is 140233120141. The reversal of 140233120104 is 401021332041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (140233120103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161612 + ... + 2225540.

It is an arithmetic number, because the mean of its divisors is an integer number (3417697800).

Almost surely, 2140233120104 is an apocalyptic number.

140233120104 is a gapful number since it is divisible by the number (14) 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 140233120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218732659200).

140233120104 is an abundant number, since it is smaller than the sum of its proper divisors (297232198296).

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

140233120104 is a wasteful number, since it uses less digits than its factorization.

140233120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65143 (or 65139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 140233120104 its reverse (401021332041), we get a palindrome (541254452145).

The spelling of 140233120104 in words is "one hundred forty billion, two hundred thirty-three million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1187 1848 2374 3561 4748 7122 8309 9496 13057 14244 16618 24927 26114 28488 33236 39171 49854 52228 63929 66472 78342 91399 99708 104456 127858 156684 182798 191787 199416 255716 274197 313368 365596 383574 447503 511432 548394 703219 731192 767148 895006 1096788 1342509 1406438 1534296 1790012 2109657 2193576 2685018 2812876 3580024 4219314 4922533 5370036 5625752 8438628 9845066 10740072 14767599 16877256 19690132 29535198 39380264 59070396 75883723 118140792 151767446 227651169 303534892 455302338 531186061 607069784 834720953 910604676 1062372122 1593558183 1669441906 1821209352 2124744244 2504162859 3187116366 3338883812 4249488488 5008325718 5843046671 6374232732 6677767624 10016651436 11686093342 12748465464 17529140013 20033302872 23372186684 35058280026 46744373368 70116560052 140233120104