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1380157131492 = 223423971909343
BaseRepresentation
bin10100000101010111110…
…001101000101011100100
311212221102112010122010000
4110011113301220223210
5140103030211201432
62534011353101300
7201466403024316
oct24052761505344
94787375118100
101380157131492
114923597a1507
121a35979b7830
13a01c0957169
144ab2b1477b6
1525d7b0d157c
hex14157c68ae4

1380157131492 has 120 divisors (see below), whose sum is σ = 3803688193536. Its totient is φ = 435513272832.

The previous prime is 1380157131481. The next prime is 1380157131527. The reversal of 1380157131492 is 2941317510831.

1380157131492 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 1 + 571 + 31 + 49 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231828 + ... + 1677515.

Almost surely, 21380157131492 is an apocalyptic number.

1380157131492 is a gapful number since it is divisible by the number (12) 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 1380157131492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901844096768).

1380157131492 is an abundant number, since it is smaller than the sum of its proper divisors (2423531062044).

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

1380157131492 is a wasteful number, since it uses less digits than its factorization.

1380157131492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909479 (or 1909468 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1380157131492 in words is "one trillion, three hundred eighty billion, one hundred fifty-seven million, one hundred thirty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 97 108 138 162 194 207 276 291 324 388 414 582 621 828 873 1164 1242 1746 1863 2231 2484 2619 3492 3726 4462 5238 6693 7452 7857 8924 10476 13386 15714 20079 26772 31428 40158 60237 80316 120474 180711 240948 361422 722844 1909343 3818686 5728029 7637372 11456058 17184087 22912116 34368174 43914889 51552261 68736348 87829778 103104522 131744667 154656783 175659556 185206271 206209044 263489334 309313566 370412542 395234001 526978668 555618813 618627132 740825084 790468002 1111237626 1185702003 1580936004 1666856439 2222475252 2371404006 3333712878 3557106009 4259744233 4742808012 5000569317 6667425756 7114212018 8519488466 10001138634 12779232699 14228424036 15001707951 17038976932 20002277268 25558465398 30003415902 38337698097 51116930796 60006831804 76675396194 115013094291 153350792388 230026188582 345039282873 460052377164 690078565746 1380157131492