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144556412 = 227111379457
BaseRepresentation
bin10001001110111…
…00000101111100
3101002000020010012
420213130011330
5244001301122
622202202352
73403465160
oct1047340574
9332006105
10144556412
1174664410
12404b33b8
1323c44250
14152acca0
15ca567e2
hex89dc17c

144556412 has 96 divisors (see below), whose sum is σ = 344709120. Its totient is φ = 51217920.

The previous prime is 144556393. The next prime is 144556439. The reversal of 144556412 is 214655441.

144556412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316088 + ... + 316544.

It is an arithmetic number, because the mean of its divisors is an integer number (3590720).

Almost surely, 2144556412 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 144556412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354560).

144556412 is an abundant number, since it is smaller than the sum of its proper divisors (200152708).

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

144556412 is a wasteful number, since it uses less digits than its factorization.

144556412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 144556412 is about 12023.1614810748. The cubic root of 144556412 is about 524.8225093133.

The spelling of 144556412 in words is "one hundred forty-four million, five hundred fifty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 457 553 572 869 914 1001 1027 1106 1738 1828 2002 2054 2212 3199 3476 4004 4108 5027 5941 6083 6398 7189 10054 11297 11882 12166 12796 14378 20108 22594 23764 24332 28756 35189 36103 41587 45188 65351 70378 72206 79079 83174 130702 140756 144412 158158 166348 252721 261404 316316 397133 457457 469339 505442 794266 914914 938678 1010884 1588532 1829828 1877356 2779931 3285373 5162729 5559862 6570746 10325458 11119724 13141492 20650916 36139103 72278206 144556412