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21849671940144 = 2432392461214051
BaseRepresentation
bin1001111011111010001011…
…11011110011100000110000
32212100210211012112200020020
410331331011323303200300
510330441112004041034
6114245333431043440
74413405145060656
oct475750573634060
985323735480206
1021849671940144
116a64437210524
12254a742b10580
13c26552324ca9
1455775b960dd6
1527d560581249
hex13df45ef3830

21849671940144 has 80 divisors (see below), whose sum is σ = 58900027847424. Its totient is φ = 6966454176000.

The previous prime is 21849671940143. The next prime is 21849671940181. The reversal of 21849671940144 is 44104917694812.

It is not an unprimeable number, because it can be changed into a prime (21849671940143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101969919 + ... + 102183969.

Almost surely, 221849671940144 is an apocalyptic number.

21849671940144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21849671940144 is an abundant number, since it is smaller than the sum of its proper divisors (37050355907280).

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

21849671940144 is a wasteful number, since it uses less digits than its factorization.

21849671940144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306546 (or 306540 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 21849671940144 in words is "twenty-one trillion, eight hundred forty-nine billion, six hundred seventy-one million, nine hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 92461 184922 214051 277383 369844 428102 554766 642153 739688 856204 1109532 1284306 1479376 1712408 2126603 2219064 2568612 3424816 4253206 4438128 4923173 5137224 6379809 8506412 9846346 10274448 12759618 14769519 17012824 19692692 25519236 29539038 34025648 39385384 51038472 59078076 78770768 102076944 118156152 236312304 19791369511 39582739022 59374108533 79165478044 118748217066 158330956088 237496434132 316661912176 455201498753 474992868264 910402997506 949985736528 1365604496259 1820805995012 2731208992518 3641611990024 5462417985036 7283223980048 10924835970072 21849671940144