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144695096 = 23713215289
BaseRepresentation
bin10001001111111…
…01111100111000
3101002021021100122
420213331330320
5244020220341
622205152412
73404613410
oct1047757470
9332237318
10144695096
1174749627
124055b708
1323c92400
1415307640
15ca8294b
hex89fdf38

144695096 has 48 divisors (see below), whose sum is σ = 335768400. Its totient is φ = 57238272.

The previous prime is 144695087. The next prime is 144695107. The reversal of 144695096 is 690596441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1820 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (6995175).

Almost surely, 2144695096 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 144695096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167884200).

144695096 is an abundant number, since it is smaller than the sum of its proper divisors (191073304).

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

144695096 is a wasteful number, since it uses less digits than its factorization.

144695096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15311 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 144695096 is about 12028.9274667362. The cubic root of 144695096 is about 524.9902897675.

The spelling of 144695096 in words is "one hundred forty-four million, six hundred ninety-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 15289 30578 61156 107023 122312 198757 214046 397514 428092 795028 856184 1391299 1590056 2583841 2782598 5167682 5565196 10335364 11130392 18086887 20670728 36173774 72347548 144695096