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141539187192 = 233132331636257
BaseRepresentation
bin1000001111010001100…
…1001001100111111000
3111112100002221200122020
42003310121021213320
54304333012442232
6145004443554440
713140321145344
oct2036431114770
9445302850566
10141539187192
11550321aa277
122352122ba20
1310468724b50
146bc9c12624
153a35e0be2c
hex20f46499f8

141539187192 has 128 divisors (see below), whose sum is σ = 410462760960. Its totient is φ = 40313180160.

The previous prime is 141539187151. The next prime is 141539187193. The reversal of 141539187192 is 291781935141.

141539187192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141539187193) 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, 95673 + ... + 540584.

It is an arithmetic number, because the mean of its divisors is an integer number (3206740320).

Almost surely, 2141539187192 is an apocalyptic number.

141539187192 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 141539187192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205231380480).

141539187192 is an abundant number, since it is smaller than the sum of its proper divisors (268923573768).

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

141539187192 is a wasteful number, since it uses less digits than its factorization.

141539187192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636333 (or 636329 counting only the distinct ones).

The product of its digits is 544320, while the sum is 51.

The spelling of 141539187192 in words is "one hundred forty-one billion, five hundred thirty-nine million, one hundred eighty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 31 39 46 52 62 69 78 92 93 104 124 138 156 184 186 248 276 299 312 372 403 552 598 713 744 806 897 1196 1209 1426 1612 1794 2139 2392 2418 2852 3224 3588 4278 4836 5704 7176 8556 9269 9672 17112 18538 27807 37076 55614 74152 111228 222456 636257 1272514 1908771 2545028 3817542 5090056 7635084 8271341 14633911 15270168 16542682 19723967 24814023 29267822 33085364 39447934 43901733 49628046 58535644 59171901 66170728 78895868 87803466 99256092 117071288 118343802 157791736 175606932 190240843 198512184 236687604 256411571 351213864 380481686 453651241 473375208 512823142 570722529 760963372 769234713 907302482 1025646284 1141445058 1360953723 1521926744 1538469426 1814604964 2051292568 2282890116 2721907446 3076938852 3629209928 4565780232 5443814892 5897466133 6153877704 10887629784 11794932266 17692398399 23589864532 35384796798 47179729064 70769593596 141539187192