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144659938381156 = 22112172321592
BaseRepresentation
bin100000111001000101000100…
…001111011000110101100100
3200222012100120211102112121101
4200321011010033120311210
5122430102023211144111
61231355505214525444
742320223062006152
oct4071050417306544
9628170524375541
10144659938381156
1142102a31a37300
1214284094806884
1362944b1bcaa53
1427a18150c43d2
1511ace0c444bc1
hex8391443d8d64

144659938381156 has 81 divisors (see below), whose sum is σ = 295601499406297. Its totient is φ = 61884680260480.

The previous prime is 144659938381141. The next prime is 144659938381171. The reversal of 144659938381156 is 651183839956441.

The square root of 144659938381156 is 12027466.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (144659938381141) and next prime (144659938381171).

It can be written as a sum of positive squares in only one way, i.e., 112624519500900 + 32035418880256 = 10612470^2 + 5659984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4498256205 + ... + 4498288363.

Almost surely, 2144659938381156 is an apocalyptic number.

144659938381156 is the 12027466-th square number.

It is an amenable number.

144659938381156 is an abundant number, since it is smaller than the sum of its proper divisors (150941561025141).

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

144659938381156 is an frugal number, since it uses more digits than its factorization.

144659938381156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64378 (or 32189 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 73.

The spelling of 144659938381156 in words is "one hundred forty-four trillion, six hundred fifty-nine billion, nine hundred thirty-eight million, three hundred eighty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 2057 3179 4114 6358 8228 12716 32159 34969 64318 69938 128636 139876 353749 546703 707498 1093406 1414996 2186812 3891239 6013733 7782478 9293951 12027466 15564956 18587902 24054932 37175804 66151063 102233461 132302126 204466922 264604252 408933844 1034201281 1124568071 2068402562 2249136142 4136805124 4498272284 11376214091 17581421777 22752428182 35162843554 45504856364 70325687108 125138355001 193395639547 250276710002 298884170209 386791279094 500553420004 597768340418 773582558188 1195536680836 2127352035017 3287725872299 4254704070034 6575451744598 8509408140068 13150903489196 36164984595289 72329969190578 144659938381156