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141688664 = 231329109431
BaseRepresentation
bin10000111000111…
…11111101011000
3100212121112022022
420130133331120
5242233014124
622020514012
73340222325
oct1034377530
9325545268
10141688664
1172a85877
123b54b908
132347bb60
1414b63b4c
15c68bc5e
hex871ff58

141688664 has 64 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 62415360.

The previous prime is 141688619. The next prime is 141688669. The reversal of 141688664 is 466886141.

It is a super-2 number, since 2×1416886642 = 40151355012209792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141688669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328529 + ... + 328959.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2141688664 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 141688664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

141688664 is an abundant number, since it is smaller than the sum of its proper divisors (157687336).

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

141688664 is a wasteful number, since it uses less digits than its factorization.

141688664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 141688664 is about 11903.3047512025. The cubic root of 141688664 is about 521.3287810965.

The spelling of 141688664 in words is "one hundred forty-one million, six hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 109 116 218 232 377 431 436 754 862 872 1417 1508 1724 2834 3016 3161 3448 5603 5668 6322 11206 11336 12499 12644 22412 24998 25288 41093 44824 46979 49996 82186 93958 99992 162487 164372 187916 324974 328744 375832 610727 649948 1221454 1299896 1362391 2442908 2724782 4885816 5449564 10899128 17711083 35422166 70844332 141688664