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141338512 = 2475973293
BaseRepresentation
bin10000110110010…
…10011110010000
3100211221201222201
420123022132100
5242140313022
622005212544
73334233430
oct1033123620
9324851881
10141338512
1172866797
123b401154
1323388673
1414ab22c0
15c61d127
hex86ca790

141338512 has 80 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 58530816.

The previous prime is 141338507. The next prime is 141338531. The reversal of 141338512 is 215833141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482238 + ... + 482530.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2141338512 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 141338512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

141338512 is an abundant number, since it is smaller than the sum of its proper divisors (182390768).

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

141338512 is a wasteful number, since it uses less digits than its factorization.

141338512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 141338512 is about 11888.5874686609. The cubic root of 141338512 is about 520.8989774939.

The spelling of 141338512 in words is "one hundred forty-one million, three hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 73 112 118 146 236 292 293 413 472 511 584 586 826 944 1022 1168 1172 1652 2044 2051 2344 3304 4088 4102 4307 4688 6608 8176 8204 8614 16408 17228 17287 21389 30149 32816 34456 34574 42778 60298 68912 69148 85556 120596 121009 138296 149723 171112 241192 242018 276592 299446 342224 482384 484036 598892 968072 1197784 1261951 1936144 2395568 2523902 5047804 8833657 10095608 17667314 20191216 35334628 70669256 141338512