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141296364 = 223211509701
BaseRepresentation
bin10000110110000…
…00001011101100
3100211212121011200
420123000023230
5242132440424
622004245500
73333666516
oct1033001354
9324777150
10141296364
1172838060
123b3a0890
1323372421
1414aa0bb6
15c6108c9
hex86c02ec

141296364 has 72 divisors (see below), whose sum is σ = 390957840. Its totient is φ = 42672000.

The previous prime is 141296347. The next prime is 141296399. The reversal of 141296364 is 463692141.

141296364 is a `hidden beast` number, since 1 + 4 + 1 + 296 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201214 + ... + 201914.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2141296364 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 141296364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

141296364 is an abundant number, since it is smaller than the sum of its proper divisors (249661476).

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

141296364 is a wasteful number, since it uses less digits than its factorization.

141296364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1226 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 141296364 is about 11886.8147121085. The cubic root of 141296364 is about 520.8471939366.

The spelling of 141296364 in words is "one hundred forty-one million, two hundred ninety-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 509 701 1018 1402 1527 2036 2103 2804 3054 4206 4581 5599 6108 6309 7711 8412 9162 11198 12618 15422 16797 18324 22396 23133 25236 30844 33594 46266 50391 67188 69399 92532 100782 138798 201564 277596 356809 713618 1070427 1427236 2140854 3211281 3924899 4281708 6422562 7849798 11774697 12845124 15699596 23549394 35324091 47098788 70648182 141296364