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10144342032 = 2431136235303
BaseRepresentation
bin10010111001010011…
…00110000000010000
3222011222100222011120
421130221212000100
5131233422421112
64354340242240
7506246325126
oct113451460020
928158328146
1010144342032
114336242350
121b713a0380
13c58887c66
146c33b7916
153e58c0e8c
hex25ca66010

10144342032 has 80 divisors (see below), whose sum is σ = 28601883648. Its totient is φ = 3072615040.

The previous prime is 10144342031. The next prime is 10144342063. The reversal of 10144342032 is 23024344101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10144341993 and 10144342011.

It is not an unprimeable number, because it can be changed into a prime (10144342031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1910293 + ... + 1915595.

Almost surely, 210144342032 is an apocalyptic number.

10144342032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10144342032 is an abundant number, since it is smaller than the sum of its proper divisors (18457541616).

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

10144342032 is a wasteful number, since it uses less digits than its factorization.

10144342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8942 counting only the distinct ones).

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

Adding to 10144342032 its reverse (23024344101), we get a palindrome (33168686133).

The spelling of 10144342032 in words is "ten billion, one hundred forty-four million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3623 5303 7246 10606 10869 14492 15909 21212 21738 28984 31818 39853 42424 43476 57968 58333 63636 79706 84848 86952 116666 119559 127272 159412 173904 174999 233332 239118 254544 318824 349998 466664 478236 637648 699996 933328 956472 1399992 1912944 2799984 19212769 38425538 57638307 76851076 115276614 153702152 211340459 230553228 307404304 422680918 461106456 634021377 845361836 922212912 1268042754 1690723672 2536085508 3381447344 5072171016 10144342032