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141614772 = 2231323291361
BaseRepresentation
bin10000111000011…
…01111010110100
3100212110202221120
420130031322310
5242223133042
622015143540
73336464025
oct1034157264
9325422846
10141614772
1172a35302
123b514bb0
1323454330
1414b44c4c
15c674dec
hex870deb4

141614772 has 96 divisors (see below), whose sum is σ = 384410880. Its totient is φ = 40212480.

The previous prime is 141614747. The next prime is 141614773. The reversal of 141614772 is 277416141.

141614772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1416147722 = 40109487297223968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141614773) 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, 103372 + ... + 104732.

It is an arithmetic number, because the mean of its divisors is an integer number (4004280).

Almost surely, 2141614772 is an apocalyptic number.

141614772 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 141614772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205440).

141614772 is an abundant number, since it is smaller than the sum of its proper divisors (242796108).

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

141614772 is a wasteful number, since it uses less digits than its factorization.

141614772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 141614772 is about 11900.2005025126. The cubic root of 141614772 is about 521.2381393479.

The spelling of 141614772 in words is "one hundred forty-one million, six hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 78 87 92 116 138 156 174 276 299 348 377 598 667 754 897 1131 1196 1334 1361 1508 1794 2001 2262 2668 2722 3588 4002 4083 4524 5444 8004 8166 8671 16332 17342 17693 26013 31303 34684 35386 39469 52026 53079 62606 70772 78938 93909 104052 106158 118407 125212 157876 187818 212316 236814 375636 406939 473628 513097 813878 907787 1026194 1220817 1539291 1627756 1815574 2052388 2441634 2723361 3078582 3631148 4883268 5446722 6157164 10893444 11801231 23602462 35403693 47204924 70807386 141614772