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1431825940116 = 223211131392000953
BaseRepresentation
bin10100110101011111011…
…110011111111010010100
312001212210102010001210200
4110311133132133322110
5141424334420040431
63013434411020500
7205305660452325
oct24653736377224
95055712101720
101431825940116
11502263463140
121b15b773a730
13a50363720c0
144d42d36044c
15273a2217ee6
hex14d5f79fe94

1431825940116 has 144 divisors (see below), whose sum is σ = 4282681865280. Its totient is φ = 397629181440.

The previous prime is 1431825940087. The next prime is 1431825940121. The reversal of 1431825940116 is 6110495281341.

1431825940116 is a `hidden beast` number, since 1 + 4 + 3 + 182 + 59 + 401 + 16 = 666.

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, 284905 + ... + 1716048.

Almost surely, 21431825940116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431825940116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141340932640).

1431825940116 is an abundant number, since it is smaller than the sum of its proper divisors (2850855925164).

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

1431825940116 is a wasteful number, since it uses less digits than its factorization.

1431825940116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001126 (or 2001121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1431825940116 in words is "one trillion, four hundred thirty-one billion, eight hundred twenty-five million, nine hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 139 143 156 198 234 278 286 396 417 429 468 556 572 834 858 1251 1287 1529 1668 1716 1807 2502 2574 3058 3614 4587 5004 5148 5421 6116 7228 9174 10842 13761 16263 18348 19877 21684 27522 32526 39754 55044 59631 65052 79508 119262 178893 238524 357786 715572 2000953 4001906 6002859 8003812 12005718 18008577 22010483 24011436 26012389 36017154 44020966 52024778 66031449 72034308 78037167 88041932 104049556 132062898 156074334 198094347 234111501 264125796 278132467 286136279 312148668 396188694 468223002 556264934 572272558 792377388 834397401 858408837 936446004 1112529868 1144545116 1668794802 1716817674 2503192203 2575226511 3059457137 3337589604 3433635348 3615722071 5006384406 5150453022 6118914274 7231444142 9178371411 10012768812 10300906044 10847166213 12237828548 14462888284 18356742822 21694332426 27535114233 32541498639 36713485644 39772942781 43388664852 55070228466 65082997278 79545885562 110140456932 119318828343 130165994556 159091771124 238637656686 357956485029 477275313372 715912970058 1431825940116