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218040434704 = 24107210912
BaseRepresentation
bin1100101100010000111…
…0010000000000010000
3202211210121112201111201
43023010032100000100
512033021322402304
6244055535120544
721516150054361
oct3130416200020
9684717481451
10218040434704
118451a160874
1236311373154
131773aa39101
14a7a6035b68
155a121683a4
hex32c4390010

218040434704 has 45 divisors (see below), whose sum is σ = 426829630591. Its totient is φ = 107902343840.

The previous prime is 218040434693. The next prime is 218040434747. The reversal of 218040434704 is 407434040812.

The square root of 218040434704 is 466948.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199853199 + ... + 199854289.

Almost surely, 2218040434704 is an apocalyptic number.

218040434704 is the 466948-th square number.

It is an amenable number.

218040434704 is a deficient number, since it is larger than the sum of its proper divisors (208789195887).

218040434704 is an frugal number, since it uses more digits than its factorization.

218040434704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 218040434704 in words is "two hundred eighteen billion, forty million, four hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 107 214 428 856 1091 1712 2182 4364 8728 11449 17456 22898 45796 91592 116737 183184 233474 466948 933896 1190281 1867792 2380562 4761124 9522248 12490859 19044496 24981718 49963436 99926872 127360067 199853744 254720134 509440268 1018880536 2037761072 13627527169 27255054338 54510108676 109020217352 218040434704