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144525096 = 233219293643
BaseRepresentation
bin10001001110101…
…00011100101000
3101001221122011100
420213110130220
5243444300341
622201401400
73403304652
oct1047243450
9331848140
10144525096
1174642931
1240499260
1323c32c11
14152a16d2
15ca4c3b6
hex89d4728

144525096 has 96 divisors (see below), whose sum is σ = 426348000. Its totient is φ = 44053632.

The previous prime is 144525089. The next prime is 144525149. The reversal of 144525096 is 690525441.

144525096 is a `hidden beast` number, since 1 + 44 + 525 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144525096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37851 + ... + 41493.

It is an arithmetic number, because the mean of its divisors is an integer number (4441125).

Almost surely, 2144525096 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 144525096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213174000).

144525096 is an abundant number, since it is smaller than the sum of its proper divisors (281822904).

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

144525096 is a wasteful number, since it uses less digits than its factorization.

144525096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 144525096 is about 12021.8590908395. The cubic root of 144525096 is about 524.7846082419.

The spelling of 144525096 in words is "one hundred forty-four million, five hundred twenty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 3643 4408 4959 6612 7286 9918 10929 13224 14572 19836 21858 29144 32787 39672 43716 65574 69217 87432 105647 131148 138434 207651 211294 262296 276868 316941 415302 422588 553736 622953 633882 830604 845176 950823 1245906 1267764 1661208 1901646 2007293 2491812 2535528 3803292 4014586 4983624 6021879 7606584 8029172 12043758 16058344 18065637 24087516 36131274 48175032 72262548 144525096