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10442354340 = 22351131510379
BaseRepresentation
bin10011011100110100…
…11010111010100100
3222221202010120012110
421232122122322210
5132341220314330
64444103521020
7516525355515
oct115632327244
928852116173
1010442354340
114479489410
122035159170
13ca553b0c2
14710bd0a0c
15411b3adb0
hex26e69aea4

10442354340 has 96 divisors (see below), whose sum is σ = 32925634560. Its totient is φ = 2449814400.

The previous prime is 10442354291. The next prime is 10442354387. The reversal of 10442354340 is 4345324401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10442354298 and 10442354307.

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, 234730 + ... + 275649.

It is an arithmetic number, because the mean of its divisors is an integer number (342975360).

Almost surely, 210442354340 is an apocalyptic number.

10442354340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442354340 is an abundant number, since it is smaller than the sum of its proper divisors (22483280220).

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

10442354340 is a wasteful number, since it uses less digits than its factorization.

10442354340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510433 (or 510431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10442354340 its reverse (4345324401), we get a palindrome (14787678741).

The spelling of 10442354340 in words is "ten billion, four hundred forty-two million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 510379 1020758 1531137 2041516 2551895 3062274 5103790 5614169 6124548 7655685 10207580 11228338 15311370 15821749 16842507 22456676 28070845 30622740 31643498 33685014 47465247 56141690 63286996 67370028 79108745 84212535 94930494 112283380 158217490 168425070 174039239 189860988 237326235 316434980 336850140 348078478 474652470 522117717 696156956 870196195 949304940 1044235434 1740392390 2088470868 2610588585 3480784780 5221177170 10442354340