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144650496 = 2831923431
BaseRepresentation
bin10001001111100…
…11000100000000
3101002012000011210
420213303010000
5244012303441
622204210120
73404336364
oct1047630400
9332160153
10144650496
1174719071
1240539940
1323c78013
14152d52a4
15ca74616
hex89f3100

144650496 has 144 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 43591680.

The previous prime is 144650479. The next prime is 144650503. The reversal of 144650496 is 694056441.

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, 335401 + ... + 335831.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2144650496 is an apocalyptic number.

144650496 is a gapful number since it is divisible by the number (16) 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 144650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

144650496 is an abundant number, since it is smaller than the sum of its proper divisors (279193344).

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

144650496 is a wasteful number, since it uses less digits than its factorization.

144650496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 144650496 is about 12027.0734594913. The cubic root of 144650496 is about 524.9363442095.

The spelling of 144650496 in words is "one hundred forty-four million, six hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 431 437 456 552 608 736 768 862 874 912 1104 1216 1293 1311 1472 1724 1748 1824 2208 2432 2586 2622 2944 3448 3496 3648 4416 4864 5172 5244 5888 6896 6992 7296 8189 8832 9913 10344 10488 13792 13984 14592 16378 17664 19826 20688 20976 24567 27584 27968 29739 32756 39652 41376 41952 49134 55168 55936 59478 65512 79304 82752 83904 98268 110336 111872 118956 131024 158608 165504 167808 188347 196536 237912 262048 317216 331008 335616 376694 393072 475824 524096 565041 634432 753388 786144 951648 1048192 1130082 1268864 1506776 1572288 1903296 2096384 2260164 2537728 3013552 3144576 3806592 4520328 6027104 6289152 7613184 9040656 12054208 18081312 24108416 36162624 48216832 72325248 144650496