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34404154144 = 253143806549
BaseRepresentation
bin100000000010101001…
…011011101100100000
310021210200111010002021
4200002221123230200
51030424430413034
623445520231224
72325365325253
oct400251335440
9107720433067
1034404154144
1113655280248
126801a6b514
133323950b79
14194532509a
15d655d36b4
hex802a5bb20

34404154144 has 48 divisors (see below), whose sum is σ = 71544211200. Its totient is φ = 16260007680.

The previous prime is 34404154061. The next prime is 34404154189. The reversal of 34404154144 is 44145140443.

It is a super-2 number, since 2×344041541442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360619 + ... + 445930.

It is an arithmetic number, because the mean of its divisors is an integer number (1490504400).

Almost surely, 234404154144 is an apocalyptic number.

It is an amenable number.

34404154144 is an abundant number, since it is smaller than the sum of its proper divisors (37140057056).

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

34404154144 is a wasteful number, since it uses less digits than its factorization.

34404154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806633 (or 806625 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 34404154144 its reverse (44145140443), we get a palindrome (78549294587).

The spelling of 34404154144 in words is "thirty-four billion, four hundred four million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 688 992 1333 1376 2666 5332 10664 21328 42656 806549 1613098 3226196 6452392 12904784 25003019 25809568 34681607 50006038 69363214 100012076 138726428 200024152 277452856 400048304 554905712 800096608 1075129817 1109811424 2150259634 4300519268 8601038536 17202077072 34404154144