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10014011040 = 2535111896593
BaseRepresentation
bin10010101001110000…
…11010111010100000
3221211220010110122210
421110320122322200
5131002041323130
64333403002120
7503104455315
oct112470327240
927756113583
1010014011040
114279714790
121b35809340
13c37884927
146add6cd0c
153d92295b0
hex254e1aea0

10014011040 has 96 divisors (see below), whose sum is σ = 34411801536. Its totient is φ = 2427637760.

The previous prime is 10014011023. The next prime is 10014011053. The reversal of 10014011040 is 4011041001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 943017 + ... + 953576.

It is an arithmetic number, because the mean of its divisors is an integer number (358456266).

Almost surely, 210014011040 is an apocalyptic number.

10014011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014011040 is an abundant number, since it is smaller than the sum of its proper divisors (24397790496).

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

10014011040 is a wasteful number, since it uses less digits than its factorization.

10014011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896622 (or 1896614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10014011040 its reverse (4011041001), we get a palindrome (14025052041).

The spelling of 10014011040 in words is "ten billion, fourteen million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 1896593 3793186 5689779 7586372 9482965 11379558 15172744 18965930 20862523 22759116 28448895 30345488 37931860 41725046 45518232 56897790 60690976 62587569 75863720 83450092 91036464 104312615 113795580 125175138 151727440 166900184 182072928 208625230 227591160 250350276 303454880 312937845 333800368 417250460 455182320 500700552 625875690 667600736 834500920 910364640 1001401104 1251751380 1669001840 2002802208 2503502760 3338003680 5007005520 10014011040