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10141431234 = 23114319917957
BaseRepresentation
bin10010111000111100…
…11111010111000010
3222011202220002022020
421130132133113002
5131232201244414
64354154022310
7506212512624
oct113436372702
928152802266
1010141431234
114334634430
121b70417996
13c580a90ac
146c2c5ac14
153e54e87a9
hex25c79f5c2

10141431234 has 64 divisors (see below), whose sum is σ = 22756377600. Its totient is φ = 2986441920.

The previous prime is 10141431229. The next prime is 10141431247. The reversal of 10141431234 is 43213414101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555784 + ... + 573740.

It is an arithmetic number, because the mean of its divisors is an integer number (355568400).

Almost surely, 210141431234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141431234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378188800).

10141431234 is an abundant number, since it is smaller than the sum of its proper divisors (12614946366).

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

10141431234 is a wasteful number, since it uses less digits than its factorization.

10141431234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10141431234 its reverse (43213414101), we get a palindrome (53354845335).

The spelling of 10141431234 in words is "ten billion, one hundred forty-one million, four hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 199 258 398 473 597 946 1194 1419 2189 2838 4378 6567 8557 13134 17114 17957 25671 35914 51342 53871 94127 107742 188254 197527 282381 395054 564762 592581 772151 1185162 1544302 2316453 3573443 4632906 7146886 8493661 10720329 16987322 21440658 25480983 39307873 50961966 78615746 117923619 153658049 235847238 307316098 460974147 921948294 1690238539 3380477078 5070715617 10141431234