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144444373416 = 23337175619529
BaseRepresentation
bin1000011010000110001…
…1100011100110101000
3111210211120120102221000
42012201203203212220
54331310224422131
6150205024115000
713302315626130
oct2064143434650
9453746512830
10144444373416
11562930a0722
1223bb2165a60
131080c590355
146dc39b7ac0
153b55ec2ce6
hex21a18e39a8

144444373416 has 128 divisors (see below), whose sum is σ = 485527392000. Its totient is φ = 38842177536.

The previous prime is 144444373397. The next prime is 144444373429. The reversal of 144444373416 is 614373444441.

144444373416 is a `hidden beast` number, since 144 + 44 + 437 + 34 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 2784061 + ... + 2835468.

It is an arithmetic number, because the mean of its divisors is an integer number (3793182750).

Almost surely, 2144444373416 is an apocalyptic number.

It is an amenable number.

144444373416 is an abundant number, since it is smaller than the sum of its proper divisors (341083018584).

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

144444373416 is a wasteful number, since it uses less digits than its factorization.

144444373416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619568 (or 5619558 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 144444373416 in words is "one hundred forty-four billion, four hundred forty-four million, three hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 5619529 11239058 16858587 22478116 33717174 39336703 44956232 50575761 67434348 78673406 95531993 101151522 118010109 134868696 151727283 157346812 191063986 202303044 236020218 286595979 303454566 314693624 354030327 382127972 404606088 472040436 573191958 606909132 668723951 708060654 764255944 859787937 944080872 1062090981 1146383916 1213818264 1337447902 1416121308 1719575874 2006171853 2124181962 2292767832 2579363811 2674895804 2832242616 3439151748 4012343706 4248363924 5158727622 5349791608 6018515559 6878303496 8024687412 8496727848 10317455244 12037031118 16049374824 18055546677 20634910488 24074062236 36111093354 48148124472 72222186708 144444373416