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1201454467444 = 227113311039943
BaseRepresentation
bin10001011110111100010…
…001000100100101110100
311020212011102112201020001
4101132330101010211310
5124141034320424234
62315535054521044
7152542106320630
oct21367421044564
94225142481201
101201454467444
114235967a8000
12174a24806184
13893b1a2712a
1442217777dc0
15213bc73dd14
hex117bc444974

1201454467444 has 96 divisors (see below), whose sum is σ = 2728280604672. Its totient is φ = 452998735200.

The previous prime is 1201454467429. The next prime is 1201454467453. The reversal of 1201454467444 is 4447644541021.

It is a super-2 number, since 2×12014544674442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201454467394 and 1201454467403.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 635337 + ... + 1675279.

It is an arithmetic number, because the mean of its divisors is an integer number (28419589632).

Almost surely, 21201454467444 is an apocalyptic number.

1201454467444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201454467444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364140302336).

1201454467444 is an abundant number, since it is smaller than the sum of its proper divisors (1526826137228).

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

1201454467444 is a wasteful number, since it uses less digits than its factorization.

1201454467444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040018 (or 1039994 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 46.

The spelling of 1201454467444 in words is "one trillion, two hundred one billion, four hundred fifty-four million, four hundred sixty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 682 847 868 1331 1364 1694 2387 2662 3388 3751 4774 5324 7502 9317 9548 15004 18634 26257 37268 41261 52514 82522 105028 165044 288827 577654 1039943 1155308 2079886 4159772 7279601 11439373 14559202 22878746 29118404 32238233 45757492 64476466 80075611 125833103 128952932 160151222 225667631 251666206 320302444 354620563 451335262 503332412 709241126 880831721 902670524 1384164133 1418482252 1761663442 2482343941 2768328266 3523326884 3900826193 4964687882 5536656532 7801652386 9689148931 9929375764 15603304772 19378297862 27305783351 38756595724 42909088123 54611566702 85818176246 109223133404 171636352492 300363616861 600727233722 1201454467444