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144626640421200 = 24352717217457193
BaseRepresentation
bin100000111000100110000011…
…100001110000000101010000
3200222002011122020102220200020
4200320212003201300011100
5122424030324421434300
61231332321132023440
742314633655012540
oct4070460341600520
9628064566386606
10144626640421200
114209a8a5122133
1214279741301b80
1362913064b9072
14279dd76a71320
1511ac10e01c8a0
hex838983870150

144626640421200 has 120 divisors (see below), whose sum is σ = 529471243629888. Its totient is φ = 33057517808640.

The previous prime is 144626640421181. The next prime is 144626640421213. The reversal of 144626640421200 is 2124046626441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8608720197 + ... + 8608736996.

Almost surely, 2144626640421200 is an apocalyptic number.

144626640421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144626640421200 is an abundant number, since it is smaller than the sum of its proper divisors (384844603208688).

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

144626640421200 is a wasteful number, since it uses less digits than its factorization.

144626640421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17217457221 (or 17217457210 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 144626640421200 in words is "one hundred forty-four trillion, six hundred twenty-six billion, six hundred forty million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 17217457193 34434914386 51652371579 68869828772 86087285965 103304743158 120522200351 137739657544 172174571930 206609486316 241044400702 258261857895 275479315088 344349143860 361566601053 413218972632 430436429825 482088801404 516523715790 602611001755 688698287720 723133202106 826437945264 860872859650 964177602808 1033047431580 1205222003510 1291309289475 1377396575440 1446266404212 1721745719300 1807833005265 1928355205616 2066094863160 2410444007020 2582618578950 2892532808424 3013055008775 3443491438600 3615666010530 4132189726320 4820888014040 5165237157900 5785065616848 6026110017550 6886982877200 7231332021060 9039165026325 9641776028080 10330474315800 12052220035100 14462664042120 18078330052650 20660948631600 24104440070200 28925328084240 36156660105300 48208880140400 72313320210600 144626640421200