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144131231311340 = 225713216613656017
BaseRepresentation
bin100000110001011000101010…
…110101111110010111101100
3200220022210220022210120202212
4200301120222311332113230
5122342421230203430330
61230312550143305552
742234065163034430
oct4061305265762754
9626283808716685
10144131231311340
1141a19791644419
12141b97218ab2b8
136256694518c40
142783dbb4569c0
15119e2b647d295
hex83162ad7e5ec

144131231311340 has 96 divisors (see below), whose sum is σ = 372541097652864. Its totient is φ = 45613040578560.

The previous prime is 144131231311321. The next prime is 144131231311351. The reversal of 144131231311340 is 43113132131441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144131231311297 and 144131231311306.

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, 37595012 + ... + 41251028.

It is an arithmetic number, because the mean of its divisors is an integer number (3880636433884).

Almost surely, 2144131231311340 is an apocalyptic number.

144131231311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131231311340 is an abundant number, since it is smaller than the sum of its proper divisors (228409866341524).

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

144131231311340 is a wasteful number, since it uses less digits than its factorization.

144131231311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677707 (or 3677705 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 144131231311340 its reverse (43113132131441), we get a palindrome (187244363442781).

The spelling of 144131231311340 in words is "one hundred forty-four trillion, one hundred thirty-one billion, two hundred thirty-one million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 21661 43322 86644 108305 151627 216610 281593 303254 433220 563186 606508 758135 1126372 1407965 1516270 1971151 2815930 3032540 3656017 3942302 5631860 7312034 7884604 9855755 14624068 18280085 19711510 25592119 36560170 39423020 47528221 51184238 73120340 95056442 102368476 127960595 190112884 237641105 255921190 332697547 475282210 511842380 665395094 950564420 1330790188 1663487735 3326975470 6653950940 79192984237 158385968474 316771936948 395964921185 554350889659 791929842370 1029508795081 1108701779318 1583859684740 2059017590162 2217403558636 2771754448295 4118035180324 5147543975405 5543508896590 7206561565567 10295087950810 11087017793180 14413123131134 20590175901620 28826246262268 36032807827835 72065615655670 144131231311340