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141407464 = 231110315601
BaseRepresentation
bin10000110110110…
…11010011101000
3100212002020120111
420123123103220
5242200014324
622010504104
73334641442
oct1033332350
9325066514
10141407464
1172903580
123b435034
13233b0b73
1414acd492
15c633794
hex86db4e8

141407464 has 32 divisors (see below), whose sum is σ = 292069440. Its totient is φ = 63648000.

The previous prime is 141407429. The next prime is 141407477. The reversal of 141407464 is 464704141.

141407464 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 2×1414074642 = 39992141749822592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264 + ... + 16864.

It is an arithmetic number, because the mean of its divisors is an integer number (9127170).

Almost surely, 2141407464 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 141407464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034720).

141407464 is an abundant number, since it is smaller than the sum of its proper divisors (150661976).

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

141407464 is a wasteful number, since it uses less digits than its factorization.

141407464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15717 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 141407464 is about 11891.4870390545. The cubic root of 141407464 is about 520.9836705868.

The spelling of 141407464 in words is "one hundred forty-one million, four hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 2266 4532 9064 15601 31202 62404 124808 171611 343222 686444 1372888 1606903 3213806 6427612 12855224 17675933 35351866 70703732 141407464