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4200201400104 = 2332432329358243
BaseRepresentation
bin111101000111101111100…
…000110010111100101000
3112212112110020221120102200
4331013233200302330220
51022304003024300404
612533313524500200
7612311622555333
oct75075740627450
915775406846380
104200201400104
11137a328211736
1257a03ab4a660
13246100a72268
1410741008961a
15743cbe63839
hex3d1ef832f28

4200201400104 has 96 divisors (see below), whose sum is σ = 11640792614880. Its totient is φ = 1367425245312.

The previous prime is 4200201400093. The next prime is 4200201400181. The reversal of 4200201400104 is 4010041020024.

4200201400104 is a `hidden beast` number, since 420 + 0 + 2 + 0 + 140 + 0 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 72086007 + ... + 72144249.

It is an arithmetic number, because the mean of its divisors is an integer number (121258256405).

Almost surely, 24200201400104 is an apocalyptic number.

It is an amenable number.

4200201400104 is an abundant number, since it is smaller than the sum of its proper divisors (7440591214776).

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

4200201400104 is a wasteful number, since it uses less digits than its factorization.

4200201400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81591 (or 81584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4200201400104 its reverse (4010041020024), we get a palindrome (8210242420128).

The spelling of 4200201400104 in words is "four trillion, two hundred billion, two hundred one million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 23293 46586 58243 69879 93172 116486 139758 174729 186344 209637 232972 279516 349458 419274 465944 524187 559032 698916 838548 1001599 1048374 1397832 1677096 2003198 2096748 2504449 3004797 4006396 4193496 5008898 6009594 7513347 8012792 9014391 10017796 12019188 15026694 18028782 20035592 22540041 24038376 30053388 36057564 45080082 60106776 72115128 90160164 180320328 1356654199 2713308398 4069962597 5426616796 8139925194 10853233592 12209887791 16279850388 24419775582 32559700776 48839551164 58336130557 97679102328 116672261114 175008391671 233344522228 350016783342 466689044456 525025175013 700033566684 1050050350026 1400067133368 2100100700052 4200201400104