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10442312430 = 23511792631523
BaseRepresentation
bin10011011100110100…
…10000101011101110
3222221202001102201020
421232122100223232
5132341212444210
64444102555010
7516525122364
oct115632205356
928852042636
1010442312430
11447945a980
122035138a66
13ca5524cc4
14710bbd634
15411b2d770
hex26e690aee

10442312430 has 128 divisors (see below), whose sum is σ = 27809464320. Its totient is φ = 2488287360.

The previous prime is 10442312423. The next prime is 10442312477. The reversal of 10442312430 is 3421324401.

It is a self number, because there is not a number n which added to its sum of digits gives 10442312430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6855649 + ... + 6857171.

It is an arithmetic number, because the mean of its divisors is an integer number (217261440).

Almost surely, 210442312430 is an apocalyptic number.

10442312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904732160).

10442312430 is an abundant number, since it is smaller than the sum of its proper divisors (17367151890).

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

10442312430 is a wasteful number, since it uses less digits than its factorization.

10442312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10442312430 its reverse (3421324401), we get a palindrome (13863636831).

The spelling of 10442312430 in words is "ten billion, four hundred forty-two million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 263 330 395 474 526 789 790 869 1185 1315 1523 1578 1738 2370 2607 2630 2893 3046 3945 4345 4569 5214 5786 7615 7890 8679 8690 9138 13035 14465 15230 16753 17358 20777 22845 26070 28930 33506 41554 43395 45690 50259 62331 83765 86790 100518 103885 120317 124662 167530 207770 228547 240634 251295 311655 360951 400549 457094 502590 601585 623310 685641 721902 801098 1142735 1201647 1203170 1323487 1371282 1804755 2002745 2285470 2403294 2646974 3428205 3609510 3970461 4005490 4406039 6008235 6617435 6856410 7940922 8812078 12016470 13218117 13234870 19852305 22030195 26436234 31643371 39704610 44060390 63286742 66090585 94930113 132181170 158216855 189860226 316433710 348077081 474650565 696154162 949301130 1044231243 1740385405 2088462486 3480770810 5221156215 10442312430