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210423687856144 = 2472347214932
BaseRepresentation
bin101111110110000100010101…
…001010101100000000010000
31000121001022022121022110012221
4233312010111022230000100
5210040040203042344034
62023311150243430424
762215416101225200
oct5766042512540020
91017038277273187
10210423687856144
1161058204073684
121b72562b385414
139054b3a491659
1439d67bccda400
15194d90a2aebb4
hexbf61152ac010

210423687856144 has 135 divisors (see below), whose sum is σ = 475947954417117. Its totient is φ = 89861462366592.

The previous prime is 210423687856099. The next prime is 210423687856237. The reversal of 210423687856144 is 441658786324012.

The square root of 210423687856144 is 14505988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 183706036592400 + 26717651263744 = 13553820^2 + 5168912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140940178662 + ... + 140940180154.

Almost surely, 2210423687856144 is an apocalyptic number.

210423687856144 is the 14505988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210423687856144

210423687856144 is an abundant number, since it is smaller than the sum of its proper divisors (265524266560973).

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

210423687856144 is an frugal number, since it uses more digits than its factorization.

210423687856144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 61.

The spelling of 210423687856144 in words is "two hundred ten trillion, four hundred twenty-three billion, six hundred eighty-seven million, eight hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 347 392 694 784 1388 1493 2429 2776 2986 4858 5552 5972 9716 10451 11944 17003 19432 20902 23888 34006 38864 41804 68012 73157 83608 120409 136024 146314 167216 240818 272048 292628 481636 518071 585256 842863 963272 1036142 1170512 1685726 1926544 2072284 2229049 3371452 3626497 4144568 4458098 5900041 6742904 7252994 8289136 8916196 11800082 13485808 14505988 15603343 17832392 23600164 25385479 29011976 31206686 35664784 47200328 50770958 58023952 62413372 94400656 101541916 109223401 124826744 179770637 203083832 218446802 249653488 359541274 406167664 436893604 719082548 773480003 873787208 1258394459 1438165096 1546960006 1747574416 2516788918 2876330192 3093920012 5033577836 5414360021 6187840024 8808761213 10067155672 10828720042 12375680048 17617522426 20134311344 21657440084 35235044852 37900520147 43314880168 70470089704 75801040294 86629760336 140940179408 151602080588 268397561041 303204161176 536795122082 606408322352 1073590244164 1878782927287 2147180488328 3757565854574 4294360976656 7515131709148 13151480491009 15030263418296 26302960982018 30060526836592 52605921964036 105211843928072 210423687856144