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4040334720656 = 24131913128127773
BaseRepresentation
bin111010110010110110101…
…101110011111010010000
3112022020210212120210211222
4322302312231303322100
51012144101142030111
612332034255024212
7564622155322643
oct72626655637220
915266725523758
104040334720656
111318550689253
12553063b0b068
13234004314650
14dd7a615ba5a
157017205d7db
hex3acb6b73e90

4040334720656 has 160 divisors (see below), whose sum is σ = 8973899383680. Its totient is φ = 1746836582400.

The previous prime is 4040334720623. The next prime is 4040334720673. The reversal of 4040334720656 is 6560274330404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145463186 + ... + 145490958.

It is an arithmetic number, because the mean of its divisors is an integer number (56086871148).

Almost surely, 24040334720656 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 4040334720656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486949691840).

4040334720656 is an abundant number, since it is smaller than the sum of its proper divisors (4933564663024).

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

4040334720656 is a wasteful number, since it uses less digits than its factorization.

4040334720656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28225 (or 28219 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 4040334720656 in words is "four trillion, forty billion, three hundred thirty-four million, seven hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 131 152 208 247 262 281 304 494 524 562 988 1048 1124 1703 1976 2096 2248 2489 3406 3653 3952 4496 4978 5339 6812 7306 9956 10678 13624 14612 19912 21356 27248 27773 29224 32357 36811 39824 42712 55546 58448 64714 69407 73622 85424 111092 129428 138814 147244 222184 258856 277628 294488 361049 444368 478543 517712 527687 555256 588976 699409 722098 957086 1055374 1110512 1398818 1444196 1914172 2110748 2797636 2888392 3638263 3828344 4221496 5595272 5776784 6859931 7276526 7656688 7804213 8442992 9092317 11190544 13719862 14553052 15608426 18184634 27439724 29106104 31216852 36369268 47297419 54879448 58212208 62433704 69126997 72738536 94594838 101454769 109758896 124867408 138253994 145477072 148280047 189189676 202909538 276507988 296560094 378379352 405819076 553015976 593120188 756758704 811638152 898650961 1022351903 1106031952 1186240376 1623276304 1797301922 1927640611 2044703806 2372480752 3594603844 3855281222 4089407612 7189207688 7710562444 8178815224 13290574739 14378415376 15421124888 16357630448 19424686157 26581149478 30842249776 38849372314 53162298956 77698744628 106324597912 155397489256 212649195824 252520920041 310794978512 505041840082 1010083680164 2020167360328 4040334720656