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34044107440 = 245761399173
BaseRepresentation
bin11111101101001011…
…111101101010110000
310020212120222211212011
4133231023331222300
51024210242414230
623350055212304
72313434065360
oct375513755260
9106776884764
1034044107440
1113490013892
126721377094
13329718aa95
14190d5a09a0
15d43bb2e2a
hex7ed2fdab0

34044107440 has 80 divisors (see below), whose sum is σ = 90608539968. Its totient is φ = 11653106688.

The previous prime is 34044107423. The next prime is 34044107459. The reversal of 34044107440 is 4470144043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293694 + ... + 392866.

Almost surely, 234044107440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34044107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45304269984).

34044107440 is an abundant number, since it is smaller than the sum of its proper divisors (56564432528).

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

34044107440 is a wasteful number, since it uses less digits than its factorization.

34044107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99806 (or 99800 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 34044107440 in words is "thirty-four billion, forty-four million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 613 1226 2452 3065 4291 4904 6130 8582 9808 12260 17164 21455 24520 34328 42910 49040 68656 85820 99173 171640 198346 343280 396692 495865 694211 793384 991730 1388422 1586768 1983460 2776844 3471055 3966920 5553688 6942110 7933840 11107376 13884220 27768440 55536880 60793049 121586098 243172196 303965245 425551343 486344392 607930490 851102686 972688784 1215860980 1702205372 2127756715 2431721960 3404410744 4255513430 4863443920 6808821488 8511026860 17022053720 34044107440