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141337856 = 281153947
BaseRepresentation
bin10000110110010…
…10010100000000
3100211221201002102
420123022110000
5242140302411
622005205532
73334231502
oct1033122400
9324851072
10141337856
1172866250
123b4008a8
132338828a
1414ab1d72
15c61cd3b
hex86ca500

141337856 has 72 divisors (see below), whose sum is σ = 313909344. Its totient is φ = 62965760.

The previous prime is 141337853. The next prime is 141337877. The reversal of 141337856 is 658733141.

141337856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141337853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148775 + ... + 149721.

It is an arithmetic number, because the mean of its divisors is an integer number (4359852).

Almost surely, 2141337856 is an apocalyptic number.

141337856 is a gapful number since it is divisible by the number (16) 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 141337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954672).

141337856 is an abundant number, since it is smaller than the sum of its proper divisors (172571488).

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

141337856 is an equidigital number, since it uses as much as digits as its factorization.

141337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 141337856 is about 11888.5598791443. The cubic root of 141337856 is about 520.8981716030.

The spelling of 141337856 in words is "one hundred forty-one million, three hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 947 1166 1408 1696 1894 2332 2816 3392 3788 4664 6784 7576 9328 10417 13568 15152 18656 20834 30304 37312 41668 50191 60608 74624 83336 100382 121216 149248 166672 200764 242432 333344 401528 552101 666688 803056 1104202 1333376 1606112 2208404 2666752 3212224 4416808 6424448 8833616 12848896 17667232 35334464 70668928 141337856