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144232021213014 = 237173494611255559
BaseRepresentation
bin100000110010110110100010…
…011000111011111101010110
3200220200110001112210002102010
4200302312202120323331112
5122401044134412304024
61230431135324525050
742244263641050320
oct4062664230737526
9626613045702363
10144232021213014
1141a58502943319
12142151700b0786
136263037884007
142788c1d374610
1511a1c14be7b29
hex832da263bf56

144232021213014 has 128 divisors (see below), whose sum is σ = 350825561856000. Its totient is φ = 38590027130880.

The previous prime is 144232021212973. The next prime is 144232021213037. The reversal of 144232021213014 is 410312120232441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114246967 + ... + 115502525.

It is an arithmetic number, because the mean of its divisors is an integer number (2740824702000).

Almost surely, 2144232021213014 is an apocalyptic number.

144232021213014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144232021213014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175412780928000).

144232021213014 is an abundant number, since it is smaller than the sum of its proper divisors (206593540642986).

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

144232021213014 is a wasteful number, since it uses less digits than its factorization.

144232021213014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256398.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144232021213014 its reverse (410312120232441), we get a palindrome (554544141445455).

The spelling of 144232021213014 in words is "one hundred forty-four trillion, two hundred thirty-two billion, twenty-one million, two hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 349 357 461 698 714 922 1047 1383 2094 2443 2766 3227 4886 5933 6454 7329 7837 9681 11866 14658 15674 17799 19362 23511 35598 41531 47022 54859 83062 109718 124593 160889 164577 249186 321778 329154 482667 965334 1126223 1255559 2252446 2511118 2735113 3378669 3766677 5470226 6757338 7533354 8205339 8788913 16410678 17577826 19145791 21344503 26366739 38291582 42689006 52733478 57437373 64033509 114874746 128067018 149411521 298823042 438190091 448234563 578812699 876380182 896469126 1157625398 1314570273 1736438097 2629140546 3067330637 3472876194 4051688893 6134661274 7449231547 8103377786 9201991911 9839815883 12155066679 14898463094 18403983822 19679631766 22347694641 24310133358 29519447649 44695389282 52144620829 59038895298 68878711181 104289241658 137757422362 156433862487 202005631951 206636133543 312867724974 404011263902 413272267086 606016895853 1212033791706 1414039423657 2828078847314 3434095743167 4242118270971 6868191486334 8484236541942 10302287229501 20604574459002 24038670202169 48077340404338 72116010606507 144232021213014