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210144431004144 = 243713181265801043
BaseRepresentation
bin101111110010000000010000…
…001010010101100111110000
31000120001121111201021112010120
4233302000100022111213300
5210021001243314113034
62022535004024130240
762156301621156630
oct5762002012254760
91016047451245116
10210144431004144
1160a5a8309364aa
121b69b494906980
1390346c4ca6420
1439c708aa4a6c0
151946513c13c49
hexbf20102959f0

210144431004144 has 160 divisors (see below), whose sum is σ = 671842971631104. Its totient is φ = 55116504069120.

The previous prime is 210144431004119. The next prime is 210144431004169. The reversal of 210144431004144 is 441400134441012.

It is an interprime number because it is at equal distance from previous prime (210144431004119) and next prime (210144431004169).

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, 132109914 + ... + 133691129.

Almost surely, 2210144431004144 is an apocalyptic number.

210144431004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210144431004144 is an abundant number, since it is smaller than the sum of its proper divisors (461698540626960).

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

210144431004144 is a wasteful number, since it uses less digits than its factorization.

210144431004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265801255 (or 265801249 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 210144431004144 its reverse (441400134441012), we get a palindrome (651544565445156).

The spelling of 210144431004144 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred thirty-one million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 181 182 208 273 312 336 362 364 543 546 624 724 728 1086 1092 1267 1448 1456 2172 2184 2353 2534 2896 3801 4344 4368 4706 5068 7059 7602 8688 9412 10136 14118 15204 16471 18824 20272 28236 30408 32942 37648 49413 56472 60816 65884 98826 112944 131768 197652 263536 395304 790608 265801043 531602086 797403129 1063204172 1594806258 1860607301 2126408344 3189612516 3455413559 3721214602 4252816688 5581821903 6379225032 6910827118 7442429204 10366240677 11163643806 12758450064 13821654236 14884858408 20732481354 22327287612 24187894913 27643308472 29769716816 41464962708 44654575224 48109988783 48375789826 55286616944 72563684739 82929925416 89309150448 96219977566 96751579652 144329966349 145127369478 165859850832 192439955132 193503159304 288659932698 290254738956 336769921481 384879910264 387006318608 577319865396 580509477912 625429854179 673539842962 769759820528 1010309764443 1154639730792 1161018955824 1250859708358 1347079685924 1876289562537 2020619528886 2309279461584 2501719416716 2694159371848 3752579125074 4041239057772 4378008979253 5003438833432 5388318743696 7505158250148 8082478115544 8756017958506 10006877666864 13134026937759 15010316500296 16164956231088 17512035917012 26268053875518 30020633000592 35024071834024 52536107751036 70048143668048 105072215502072 210144431004144