Search a number
-
+
142941312 = 2732167743
BaseRepresentation
bin10001000010100…
…01110010000000
3100221222011121200
420201101302000
5243043110222
622103421200
73353660343
oct1041216200
9327864550
10142941312
1173760a18
123ba54800
13237ca077
1414dac45a
15c837eac
hex8851c80

142941312 has 96 divisors (see below), whose sum is σ = 414348480. Its totient is φ = 47298048.

The previous prime is 142941307. The next prime is 142941347. The reversal of 142941312 is 213149241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192013 + ... + 192755.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2142941312 is an apocalyptic number.

142941312 is a gapful number since it is divisible by the number (12) 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 142941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

142941312 is an abundant number, since it is smaller than the sum of its proper divisors (271407168).

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

142941312 is a wasteful number, since it uses less digits than its factorization.

142941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 915 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 142941312 is about 11955.8066227252. The cubic root of 142941312 is about 522.8606052931.

The spelling of 142941312 in words is "one hundred forty-two million, nine hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 288 334 384 501 576 668 743 1002 1152 1336 1486 1503 2004 2229 2672 2972 3006 4008 4458 5344 5944 6012 6687 8016 8916 10688 11888 12024 13374 16032 17832 21376 23776 24048 26748 32064 35664 47552 48096 53496 64128 71328 95104 96192 106992 124081 142656 192384 213984 248162 285312 372243 427968 496324 744486 855936 992648 1116729 1488972 1985296 2233458 2977944 3970592 4466916 5955888 7941184 8933832 11911776 15882368 17867664 23823552 35735328 47647104 71470656 142941312