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744394040136960 = 2835316253310149
BaseRepresentation
bin1010100101000001011011111…
…0010101011101010100000000
310121121200101010112212101010020
42221100112332111131110000
51240032122443233340320
611155105522345133440
7312536460153423363
oct25120267625352400
93547611115771106
10744394040136960
111a6206815387904
126b5a4675a8a280
1325c4909799c2b5
14d1b6c142da0da
155b0d5e5c02940
hex2a505be55d500

744394040136960 has 144 divisors (see below), whose sum is σ = 2454099061747200. Its totient is φ = 192101687746560.

The previous prime is 744394040136947. The next prime is 744394040136977. The reversal of 744394040136960 is 69631040493447.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 744394040136894 and 744394040136903.

It is a congruent number.

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, 3126536035 + ... + 3126774114.

Almost surely, 2744394040136960 is an apocalyptic number.

It is an amenable number.

744394040136960 is an abundant number, since it is smaller than the sum of its proper divisors (1709705021610240).

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

744394040136960 is a wasteful number, since it uses less digits than its factorization.

744394040136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253310204 (or 6253310190 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 744394040136960 in words is "seven hundred forty-four trillion, three hundred ninety-four billion, forty million, one hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 19840 23808 29760 39680 59520 119040 6253310149 12506620298 18759930447 25013240596 31266550745 37519860894 50026481192 62533101490 75039721788 93799652235 100052962384 125066202980 150079443576 187599304470 193852614619 200105924768 250132405960 300158887152 375198608940 387705229238 400211849536 500264811920 581557843857 600317774304 750397217880 775410458476 800423699072 969263073095 1000529623840 1163115687714 1200635548608 1500794435760 1550820916952 1600847398144 1938526146190 2001059247680 2326231375428 2401271097216 2907789219285 3001588871520 3101641833904 3877052292380 4002118495360 4652462750856 4802542194432 5815578438570 6003177743040 6203283667808 7754104584760 8004236990720 9304925501712 11631156877140 12006355486080 12406567335616 15508209169520 18609851003424 23262313754280 24012710972160 24813134671232 31016418339040 37219702006848 46524627508560 49626269342464 62032836678080 74439404013696 93049255017120 124065673356160 148878808027392 186098510034240 248131346712320 372197020068480 744394040136960