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104081713341440 = 2105103131971149
BaseRepresentation
bin10111101010100101101001…
…100011010010010000000000
3111122112010002120002001211012
4113222211221203102100000
5102120233322103411230
61005210251245140052
730631440612116462
oct2752455143222000
9448463076061735
10104081713341440
113018889685a68a
12b80b89725a628
13460cb2c014493
141b9b820686132
15c0760e385395
hex5ea9698d2400

104081713341440 has 88 divisors (see below), whose sum is σ = 249698477590200. Its totient is φ = 41628627304448.

The previous prime is 104081713341349. The next prime is 104081713341517. The reversal of 104081713341440 is 44143317180401.

It can be written as a sum of positive squares in 4 ways, for example, as 19649432141824 + 84432281199616 = 4432768^2 + 9188704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51816986 + ... + 53788134.

Almost surely, 2104081713341440 is an apocalyptic number.

104081713341440 is a gapful number since it is divisible by the number (10) 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 104081713341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124849238795100).

104081713341440 is an abundant number, since it is smaller than the sum of its proper divisors (145616764248760).

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

104081713341440 is a wasteful number, since it uses less digits than its factorization.

104081713341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981487 (or 1981469 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 104081713341440 in words is "one hundred four trillion, eighty-one billion, seven hundred thirteen million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10313 20626 41252 51565 82504 103130 165008 206260 330016 412520 660032 825040 1320064 1650080 1971149 2640128 3300160 3942298 5280256 6600320 7884596 9855745 10560512 13200640 15769192 19711490 26401280 31538384 39422980 52802560 63076768 78845960 126153536 157691920 252307072 315383840 504614144 630767680 1009228288 1261535360 2018456576 2523070720 5046141440 10092282880 20328459637 40656919274 81313838548 101642298185 162627677096 203284596370 325255354192 406569192740 650510708384 813138385480 1301021416768 1626276770960 2602042833536 3252553541920 5204085667072 6505107083840 10408171334144 13010214167680 20816342668288 26020428335360 52040856670720 104081713341440