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141114272 = 25131272671
BaseRepresentation
bin10000110100100…
…11101110100000
3100211112100101112
420122103232200
5242111124042
622000322452
73332310605
oct1032235640
9324470345
10141114272
1172723272
123b313428
132330a590
1414a546ac
15c5c6982
hex8693ba0

141114272 has 48 divisors (see below), whose sum is σ = 301658112. Its totient is φ = 64592640.

The previous prime is 141114191. The next prime is 141114277. The reversal of 141114272 is 272411141.

It is not an unprimeable number, because it can be changed into a prime (141114277) 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, 51497 + ... + 54167.

It is an arithmetic number, because the mean of its divisors is an integer number (6284544).

Almost surely, 2141114272 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 141114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150829056).

141114272 is an abundant number, since it is smaller than the sum of its proper divisors (160543840).

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

141114272 is a wasteful number, since it uses less digits than its factorization.

141114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2813 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 141114272 is about 11879.1528317469. The cubic root of 141114272 is about 520.6233550127.

The spelling of 141114272 in words is "one hundred forty-one million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 508 1016 1651 2032 2671 3302 4064 5342 6604 10684 13208 21368 26416 34723 42736 52832 69446 85472 138892 277784 339217 555568 678434 1111136 1356868 2713736 4409821 5427472 8819642 10854944 17639284 35278568 70557136 141114272