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10432431042 = 23111967227547
BaseRepresentation
bin10011011011101001…
…00100001111000010
3222221001110101222220
421231310210033002
5132331200243132
64443111111510
7516345125565
oct115564441702
928831411886
1010432431042
114473920940
122031972596
13ca3475427
1470d76a4dc
15410d2aa2c
hex26dd243c2

10432431042 has 128 divisors (see below), whose sum is σ = 24469032960. Its totient is φ = 2931888960.

The previous prime is 10432431041. The next prime is 10432431043. The reversal of 10432431042 is 24013423401.

It is an interprime number because it is at equal distance from previous prime (10432431041) and next prime (10432431043).

It is not an unprimeable number, because it can be changed into a prime (10432431041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19071813 + ... + 19072359.

It is an arithmetic number, because the mean of its divisors is an integer number (191164320).

Almost surely, 210432431042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234516480).

10432431042 is an abundant number, since it is smaller than the sum of its proper divisors (14036601918).

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

10432431042 is a wasteful number, since it uses less digits than its factorization.

10432431042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876.

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

Adding to 10432431042 its reverse (24013423401), we get a palindrome (34445854443).

The spelling of 10432431042 in words is "ten billion, four hundred thirty-two million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 114 134 201 209 227 402 418 454 547 627 681 737 1094 1254 1273 1362 1474 1641 2211 2497 2546 3282 3819 4313 4422 4994 6017 7491 7638 8626 10393 12034 12939 14003 14982 15209 18051 20786 25878 28006 30418 31179 36102 36649 42009 45627 47443 62358 73298 84018 91254 94886 109947 114323 124169 142329 167299 219894 228646 248338 284658 288971 334598 342969 372507 403139 501897 577942 685938 696331 745014 806278 866913 1003794 1209417 1365859 1392662 1733826 2088993 2359211 2418834 2731718 3178681 4097577 4177986 4718422 6357362 7077633 7659641 8195154 8319323 9536043 14155266 15319282 16638646 19072086 22978923 24957969 25951321 45957846 49915938 51902642 77853963 91512553 155707926 158067137 183025106 274537659 316134274 474201411 549075318 948402822 1738738507 3477477014 5216215521 10432431042