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144644352660560 = 24529113571966271
BaseRepresentation
bin100000111000110110100011…
…010000100101010001010000
3200222010212100122010220022102
4200320312203100211101100
5122424323113240114220
61231344410454455532
742316131620402414
oct4070664320452120
9628125318126272
10144644352660560
11420a736422a785
12142810650645a8
136292b99c1577c
1427a0b77192d44
1511ac7e8ed3775
hex838da3425450

144644352660560 has 160 divisors (see below), whose sum is σ = 351588348334080. Its totient is φ = 55271262412800.

The previous prime is 144644352660559. The next prime is 144644352660581. The reversal of 144644352660560 is 65066253446441.

It is a junction number, because it is equal to n+sod(n) for n = 144644352660496 and 144644352660505.

It is a congruent number.

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, 149210225 + ... + 150176495.

It is an arithmetic number, because the mean of its divisors is an integer number (2197427177088).

Almost surely, 2144644352660560 is an apocalyptic number.

144644352660560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144644352660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175794174167040).

144644352660560 is an abundant number, since it is smaller than the sum of its proper divisors (206943995673520).

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

144644352660560 is a wasteful number, since it uses less digits than its factorization.

144644352660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966997 (or 966991 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 56.

The spelling of 144644352660560 in words is "one hundred forty-four trillion, six hundred forty-four billion, three hundred fifty-two million, six hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 113 116 145 226 232 290 452 464 565 571 580 904 1130 1142 1160 1808 2260 2284 2320 2855 3277 4520 4568 5710 6554 9040 9136 11420 13108 16385 16559 22840 26216 32770 33118 45680 52432 64523 65540 66236 82795 129046 131080 132472 165590 258092 262160 264944 322615 331180 516184 645230 662360 966271 1032368 1290460 1324720 1871167 1932542 2580920 3742334 3865084 4831355 5161840 7484668 7730168 9355835 9662710 14969336 15460336 18711670 19325420 28021859 29938672 37423340 38650840 56043718 74846680 77301680 109188623 112087436 140109295 149693360 218377246 224174872 280218590 436754492 448349744 545943115 551740741 560437180 873508984 1091886230 1103481482 1120874360 1747017968 2183772460 2206962964 2241748720 2758703705 3166470067 4367544920 4413925928 5517407410 6332940134 8735089840 8827851856 11034814820 12665880268 15832350335 16000481489 22069629640 25331760536 31664700670 32000962978 44139259280 50663521072 62346703733 63329401340 64001925956 80002407445 124693407466 126658802680 128003851912 160004814890 249386814932 253317605360 256007703824 311733518665 320009629780 498773629864 623467037330 640019259560 997547259728 1246934074660 1280038519120 1808054408257 2493868149320 3616108816514 4987736298640 7232217633028 9040272041285 14464435266056 18080544082570 28928870532112 36161088165140 72322176330280 144644352660560