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144695672 = 23113107127
BaseRepresentation
bin10001001111111…
…10000101111000
3101002021022010222
420213332011320
5244020230142
622205155212
73404615162
oct1047760570
9332238128
10144695672
117474a000
124055bb08
1323c92754
1415307932
15ca82bd2
hex89fe178

144695672 has 64 divisors (see below), whose sum is σ = 303575040. Its totient is φ = 64643040.

The previous prime is 144695669. The next prime is 144695699. The reversal of 144695672 is 276596441.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139273 + ... + 1139399.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 2144695672 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 144695672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

144695672 is an abundant number, since it is smaller than the sum of its proper divisors (158879368).

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

144695672 is a wasteful number, since it uses less digits than its factorization.

144695672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 144695672 is about 12028.9514089965. The cubic root of 144695672 is about 524.9909863910.

The spelling of 144695672 in words is "one hundred forty-four million, six hundred ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 107 121 127 214 242 254 428 484 508 856 968 1016 1177 1331 1397 2354 2662 2794 4708 5324 5588 9416 10648 11176 12947 13589 15367 25894 27178 30734 51788 54356 61468 103576 108712 122936 142417 149479 169037 284834 298958 338074 569668 597916 676148 1139336 1195832 1352296 1644269 3288538 6577076 13154152 18086959 36173918 72347836 144695672