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350106021422112 = 25319361513072029
BaseRepresentation
bin100111110011010110110100…
…1000010100110010000100000
31200220121210211121010010112110
41033212231221002212100200
5331342114112441001422
63240340252540355320
7133513216405346214
oct11746555102462040
91626553747103473
10350106021422112
11a161114793621a
1233324a86245b40
1312047b18c93a97
146265316a88944
152a720db17360c
hex13e6b690a6420

350106021422112 has 96 divisors (see below), whose sum is σ = 923940597041280. Its totient is φ = 116078421196800.

The previous prime is 350106021422083. The next prime is 350106021422221. The reversal of 350106021422112 is 211224120601053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 350106021422112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112429714 + ... + 115501742.

It is an arithmetic number, because the mean of its divisors is an integer number (9624381219180).

Almost surely, 2350106021422112 is an apocalyptic number.

350106021422112 is a gapful number since it is divisible by the number (32) 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 350106021422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461970298520640).

350106021422112 is an abundant number, since it is smaller than the sum of its proper divisors (573834575619168).

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

350106021422112 is a wasteful number, since it uses less digits than its factorization.

350106021422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078386 (or 3078378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 350106021422112 in words is "three hundred fifty trillion, one hundred six billion, twenty-one million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6151 6176 9264 12302 18453 18528 24604 36906 49208 73812 98416 147624 196832 295248 590496 1187143 2374286 3072029 3561429 4748572 6144058 7122858 9216087 9497144 12288116 14245716 18432174 18994288 24576232 28491432 36864348 37988576 49152464 56982864 73728696 98304928 113965728 147457392 294914784 592901597 1185803194 1778704791 2371606388 3557409582 4743212776 7114819164 9486425552 14229638328 18896050379 18972851104 28459276656 37792100758 56688151137 56918553312 75584201516 113376302274 151168403032 226752604548 302336806064 453505209096 604673612128 907010418192 1814020836384 3646937723147 7293875446294 10940813169441 14587750892588 21881626338882 29175501785176 43763252677764 58351003570352 87526505355528 116702007140704 175053010711056 350106021422112