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444140242434 = 232723315128423
BaseRepresentation
bin1100111011010001101…
…00100100011000000010
31120110101220020000101200
412131220310210120002
524234044400224214
6540011334442030
744042131525320
oct6355064443002
91513356200350
10444140242434
111613a46518a9
12720b1803316
1332b613a5aa5
14176d458cd10
15b846b08d09
hex6768d24602

444140242434 has 48 divisors (see below), whose sum is σ = 1104495979392. Its totient is φ = 126352580544.

The previous prime is 444140242393. The next prime is 444140242451. The reversal of 444140242434 is 434242041444.

It is a happy number.

444140242434 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 402 + 4 + 243 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7534854 + ... + 7593569.

It is an arithmetic number, because the mean of its divisors is an integer number (23010332904).

Almost surely, 2444140242434 is an apocalyptic number.

444140242434 is an abundant number, since it is smaller than the sum of its proper divisors (660355736958).

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

444140242434 is a wasteful number, since it uses less digits than its factorization.

444140242434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15128671 (or 15128668 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 444140242434 its reverse (434242041444), we get a palindrome (878382283878).

The spelling of 444140242434 in words is "four hundred forty-four billion, one hundred forty million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 1398 1631 2097 3262 4194 4893 9786 14679 29358 15128423 30256846 45385269 90770538 105898961 136155807 211797922 272311614 317696883 635393766 953090649 1906181298 3524922559 7049845118 10574767677 21149535354 24674457913 31724303031 49348915826 63448606062 74023373739 148046747478 222070121217 444140242434