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444103406804 = 221719739465133
BaseRepresentation
bin1100111011001101010…
…00000011010011010100
31120110022022220120102002
412131212220003103110
524234010433004204
6540003541134432
744041203446651
oct6354650032324
91513268816362
10444103406804
11161385882732
12720a13ba418
1332b56879665
14176cd720c28
15b84377e91e
hex6766a034d4

444103406804 has 48 divisors (see below), whose sum is σ = 867381883200. Its totient is φ = 197722031616.

The previous prime is 444103406797. The next prime is 444103406807. The reversal of 444103406804 is 408604301444.

It is a happy number.

It is a super-2 number, since 2×4441034068042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444103406807) 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, 722222 + ... + 1187354.

It is an arithmetic number, because the mean of its divisors is an integer number (18070455900).

Almost surely, 2444103406804 is an apocalyptic number.

It is an amenable number.

444103406804 is a deficient number, since it is larger than the sum of its proper divisors (423278476396).

444103406804 is a wasteful number, since it uses less digits than its factorization.

444103406804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465912 (or 465910 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 444103406804 in words is "four hundred forty-four billion, one hundred three million, four hundred six thousand, eight hundred four".

Divisors: 1 2 4 17 19 34 38 68 76 323 646 739 1292 1478 2956 12563 14041 25126 28082 50252 56164 238697 465133 477394 930266 954788 1860532 7907261 8837527 15814522 17675054 31629044 35350108 150237959 300475918 343733287 600951836 687466574 1374933148 5843465879 6530932453 11686931758 13061864906 23373863516 26123729812 111025851701 222051703402 444103406804