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131702114944 = 2717271223339
BaseRepresentation
bin111101010101000001…
…1101100101010000000
3110120221112202122101001
41322222003230222000
54124211220134234
6140300401221344
712341462335411
oct1725203545200
9416845678331
10131702114944
11509444572a4
1221636931854
13c55b71193a
146535581808
15365c4d3d14
hex1eaa0eca80

131702114944 has 64 divisors (see below), whose sum is σ = 278835523200. Its totient is φ = 61748490240.

The previous prime is 131702114911. The next prime is 131702114963. The reversal of 131702114944 is 449411207131.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478027 + ... + 701365.

It is an arithmetic number, because the mean of its divisors is an integer number (4356805050).

Almost surely, 2131702114944 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 131702114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139417761600).

131702114944 is an abundant number, since it is smaller than the sum of its proper divisors (147133408256).

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

131702114944 is a wasteful number, since it uses less digits than its factorization.

131702114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223641 (or 223629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 131702114944 in words is "one hundred thirty-one billion, seven hundred two million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 271 272 542 544 1084 1088 2168 2176 4336 4607 8672 9214 17344 18428 34688 36856 73712 147424 223339 294848 446678 589696 893356 1786712 3573424 3796763 7146848 7593526 14293696 15187052 28587392 30374104 60524869 60748208 121049738 121496416 242099476 242992832 484198952 485985664 968397904 1028922773 1936795808 2057845546 3873591616 4115691092 7747183232 8231382184 16462764368 32925528736 65851057472 131702114944