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144235714272 = 25313149775661
BaseRepresentation
bin1000011001010100011…
…1100101011011100000
3111210022000221110101120
42012111013211123200
54330343320324042
6150132211532240
713264203225336
oct2062507453340
9453260843346
10144235714272
1156196333a51
1223b542ba080
13107a82938c0
146da3dbdb56
153b42a07dec
hex21951e56e0

144235714272 has 96 divisors (see below), whose sum is σ = 410480330400. Its totient is φ = 44082309120.

The previous prime is 144235714223. The next prime is 144235714289. The reversal of 144235714272 is 272417532441.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 201879 + ... + 573782.

It is an arithmetic number, because the mean of its divisors is an integer number (4275836775).

Almost surely, 2144235714272 is an apocalyptic number.

144235714272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144235714272 is an abundant number, since it is smaller than the sum of its proper divisors (266244616128).

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

144235714272 is a wasteful number, since it uses less digits than its factorization.

144235714272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775836 (or 775828 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 144235714272 in words is "one hundred forty-four billion, two hundred thirty-five million, seven hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 298 312 416 447 596 624 894 1192 1248 1788 1937 2384 3576 3874 4768 5811 7152 7748 11622 14304 15496 23244 30992 46488 61984 92976 185952 775661 1551322 2326983 3102644 4653966 6205288 9307932 10083593 12410576 18615864 20167186 24821152 30250779 37231728 40334372 60501558 74463456 80668744 115573489 121003116 161337488 231146978 242006232 322674976 346720467 462293956 484012464 693440934 924587912 968024928 1386881868 1502455357 1849175824 2773763736 3004910714 3698351648 4507366071 5547527472 6009821428 9014732142 11095054944 12019642856 18029464284 24039285712 36058928568 48078571424 72117857136 144235714272