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144363352416 = 25331411183151
BaseRepresentation
bin1000011001110010111…
…0011111000101100000
3111210121221010011000020
42012130232133011200
54331124004234131
6150153011353440
713300313151243
oct2063456370540
9453557104006
10144363352416
1156251392418
1223b8abb2880
13107c886332a
146db6d2725a
153b4dd1b996
hex219cb9f160

144363352416 has 96 divisors (see below), whose sum is σ = 400719384576. Its totient is φ = 45432960000.

The previous prime is 144363352381. The next prime is 144363352429. The reversal of 144363352416 is 614253363441.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469560 + ... + 713591.

It is an arithmetic number, because the mean of its divisors is an integer number (4174160256).

Almost surely, 2144363352416 is an apocalyptic number.

144363352416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144363352416 is an abundant number, since it is smaller than the sum of its proper divisors (256356032160).

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

144363352416 is a wasteful number, since it uses less digits than its factorization.

144363352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183236 (or 1183228 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 144363352416 in words is "one hundred forty-four billion, three hundred sixty-three million, three hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 30504 40672 61008 122016 1183151 2366302 3549453 4732604 7098906 9465208 14197812 18930416 28395624 36677681 37860832 48509191 56791248 73355362 97018382 110033043 113582496 145527573 146710724 194036764 220066086 291055146 293421448 388073528 440132172 582110292 586842896 776147056 880264344 1164220584 1173685792 1503784921 1552294112 1760528688 2328441168 3007569842 3521057376 4511354763 4656882336 6015139684 9022709526 12030279368 18045419052 24060558736 36090838104 48121117472 72181676208 144363352416