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141311968 = 2571933203
BaseRepresentation
bin10000110110000…
…11111111100000
3100211220101120121
420123003333200
5242133440333
622004450024
73334063150
oct1033037740
9324811517
10141311968
1172848856
123b3a9914
1323379565
1414aa6760
15c61532d
hex86c3fe0

141311968 has 48 divisors (see below), whose sum is σ = 334696320. Its totient is φ = 57373056.

The previous prime is 141311959. The next prime is 141311993. The reversal of 141311968 is 869113141.

141311968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 12346 + ... + 20857.

It is an arithmetic number, because the mean of its divisors is an integer number (6972840).

Almost surely, 2141311968 is an apocalyptic number.

It is an amenable number.

141311968 is an abundant number, since it is smaller than the sum of its proper divisors (193384352).

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

141311968 is a wasteful number, since it uses less digits than its factorization.

141311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33239 (or 33231 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 141311968 is about 11887.4710514895. The cubic root of 141311968 is about 520.8663664055.

The spelling of 141311968 in words is "one hundred forty-one million, three hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 33203 66406 132812 232421 265624 464842 531248 630857 929684 1062496 1261714 1859368 2523428 3718736 4415999 5046856 7437472 8831998 10093712 17663996 20187424 35327992 70655984 141311968