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141345984 = 2631356629
BaseRepresentation
bin10000110110011…
…00010011000000
3100211222010020110
420123030103000
5242141032414
622005311320
73334264263
oct1033142300
9324863213
10141345984
117287136a
123b405540
132338bba0
1414ab4cda
15c620459
hex86cc4c0

141345984 has 56 divisors (see below), whose sum is σ = 402752560. Its totient is φ = 43490304.

The previous prime is 141345979. The next prime is 141345989. The reversal of 141345984 is 489543141.

It is an interprime number because it is at equal distance from previous prime (141345979) and next prime (141345989).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (141345989) 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, 25819 + ... + 30810.

It is an arithmetic number, because the mean of its divisors is an integer number (7192010).

Almost surely, 2141345984 is an apocalyptic number.

It is an amenable number.

141345984 is an abundant number, since it is smaller than the sum of its proper divisors (261406576).

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

141345984 is a wasteful number, since it uses less digits than its factorization.

141345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56657 (or 56647 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 141345984 is about 11888.9017154656. The cubic root of 141345984 is about 520.9081566117.

The spelling of 141345984 in words is "one hundred forty-one million, three hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 56629 113258 169887 226516 339774 453032 679548 736177 906064 1359096 1472354 1812128 2208531 2718192 2944708 3624256 4417062 5436384 5889416 8834124 10872768 11778832 17668248 23557664 35336496 47115328 70672992 141345984