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444113410240 = 2653144769497
BaseRepresentation
bin1100111011001110011…
…10001101100011000000
31120110100000201210112201
412131213032031203000
524234021013111430
6540004535402544
744041354462333
oct6354716154300
91513300653481
10444113410240
11161390495435
12720a4823454
1332b5896c956
14176d0ba661a
15b8445a88ca
hex676738d8c0

444113410240 has 56 divisors (see below), whose sum is σ = 1091659439232. Its totient is φ = 171914864640.

The previous prime is 444113410219. The next prime is 444113410243. The reversal of 444113410240 is 42014311444.

It is a junction number, because it is equal to n+sod(n) for n = 444113410199 and 444113410208.

It is not an unprimeable number, because it can be changed into a prime (444113410243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22374829 + ... + 22394668.

Almost surely, 2444113410240 is an apocalyptic number.

444113410240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444113410240 is an abundant number, since it is smaller than the sum of its proper divisors (647546028992).

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

444113410240 is a wasteful number, since it uses less digits than its factorization.

444113410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44769545 (or 44769535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444113410240 its reverse (42014311444), we get a palindrome (486127721684).

The spelling of 444113410240 in words is "four hundred forty-four billion, one hundred thirteen million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 44769497 89538994 179077988 223847485 358155976 447694970 716311952 895389940 1387854407 1432623904 1790779880 2775708814 2865247808 3581559760 5551417628 6939272035 7163119520 11102835256 13878544070 14326239040 22205670512 27757088140 44411341024 55514176280 88822682048 111028352560 222056705120 444113410240