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4091371346640 = 2435412271831673
BaseRepresentation
bin111011100010011000101…
…111000101101011010000
3112111010112201000000222210
4323202120233011223100
51014013112031043030
612411314451032120
7601406665432614
oct73423057055320
915433481000883
104091371346640
111338160510796
12560b27b9b640
13238a78a76416
14102048411344
157165c91bbb0
hex3b898bc5ad0

4091371346640 has 160 divisors (see below), whose sum is σ = 13049842006656. Its totient is φ = 1059732152320.

The previous prime is 4091371346611. The next prime is 4091371346683. The reversal of 4091371346640 is 466431731904.

4091371346640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40913713466402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4091371346640.

It is a congruent number.

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, 1317844 + ... + 3149516.

Almost surely, 24091371346640 is an apocalyptic number.

4091371346640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091371346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524921003328).

4091371346640 is an abundant number, since it is smaller than the sum of its proper divisors (8958470660016).

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

4091371346640 is a wasteful number, since it uses less digits than its factorization.

4091371346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831957 (or 1831951 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 4091371346640 in words is "four trillion, ninety-one billion, three hundred seventy-one million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 227 240 246 328 410 454 492 615 656 681 820 908 984 1135 1230 1362 1640 1816 1968 2270 2460 2724 3280 3405 3632 4540 4920 5448 6810 9080 9307 9840 10896 13620 18160 18614 27240 27921 37228 46535 54480 55842 74456 93070 111684 139605 148912 186140 223368 279210 372280 446736 558420 744560 1116840 1831673 2233680 3663346 5495019 7326692 9158365 10990038 14653384 18316730 21980076 27475095 29306768 36633460 43960152 54950190 73266920 75098593 87920304 109900380 146533840 150197186 219800760 225295779 300394372 375492965 415789771 439601520 450591558 600788744 750985930 831579542 901183116 1126478895 1201577488 1247369313 1501971860 1663159084 1802366232 2078948855 2252957790 2494738626 3003943720 3326318168 3604732464 4157897710 4505915580 4989477252 6007887440 6236846565 6652636336 8315795420 9011831160 9978954504 12473693130 16631590840 17047380611 18023662320 19957909008 24947386260 33263181680 34094761222 49894772520 51142141833 68189522444 85236903055 99789545040 102284283666 136379044888 170473806110 204568567332 255710709165 272758089776 340947612220 409137134664 511421418330 681895224440 818274269328 1022842836660 1363790448880 2045685673320 4091371346640