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8045414541640 = 2357174283394633
BaseRepresentation
bin111010100010011100000…
…0100110110100101001000
31001111010121202212011011001
41311010320010312211020
52023304002110313030
625040002403144344
71460155605152560
oct165047004664510
931433552764131
108045414541640
11262204a846583
12a9b3090750b4
134648aa6686c8
141db585db9da0
15de42de8acca
hex75138136948

8045414541640 has 128 divisors (see below), whose sum is σ = 21910332245760. Its totient is φ = 2595554648064.

The previous prime is 8045414541631. The next prime is 8045414541641. The reversal of 8045414541640 is 461454145408.

It is not an unprimeable number, because it can be changed into a prime (8045414541641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20189764 + ... + 20584396.

It is an arithmetic number, because the mean of its divisors is an integer number (171174470670).

Almost surely, 28045414541640 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 8045414541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955166122880).

8045414541640 is an abundant number, since it is smaller than the sum of its proper divisors (13864917704120).

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

8045414541640 is a wasteful number, since it uses less digits than its factorization.

8045414541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398951 (or 398947 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 8045414541640 in words is "eight trillion, forty-five billion, four hundred fourteen million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4283 4760 8566 17132 21415 29981 34264 42830 59962 72811 85660 119924 145622 149905 171320 239848 291244 299810 364055 394633 509677 582488 599620 728110 789266 1019354 1199240 1456220 1578532 1973165 2038708 2548385 2762431 2912440 3157064 3946330 4077416 5096770 5524862 6708761 7892660 10193540 11049724 13417522 13812155 15785320 20387080 22099448 26835044 27624310 33543805 46961327 53670088 55248620 67087610 93922654 110497240 134175220 187845308 234806635 268350440 375690616 469613270 939226540 1690213139 1878453080 3380426278 6760852556 8451065695 11831491973 13521705112 16902131390 23662983946 28733623363 33804262780 47325967892 57467246726 59157459865 67608525560 94651935784 114934493452 118314919730 143668116815 201135363541 229868986904 236629839460 287336233630 402270727082 473259678920 574672467260 804541454164 1005676817705 1149344934520 1609082908328 2011353635410 4022707270820 8045414541640