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10430142432 = 253108647317
BaseRepresentation
bin10011011011010111…
…10101011111100000
3222220220011010121120
421231223311133200
5132330104024212
64442550052240
7516316514343
oct115553653740
928826133546
1010430142432
1144725a8426
12203104a080
13ca2b53818
1470d33245a
15410a2788c
hex26daf57e0

10430142432 has 24 divisors (see below), whose sum is σ = 27379124136. Its totient is φ = 3476714112.

The previous prime is 10430142431. The next prime is 10430142449. The reversal of 10430142432 is 23424103401.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430142431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54323563 + ... + 54323754.

It is an arithmetic number, because the mean of its divisors is an integer number (1140796839).

Almost surely, 210430142432 is an apocalyptic number.

10430142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10430142432 is an abundant number, since it is smaller than the sum of its proper divisors (16948981704).

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

10430142432 is a wasteful number, since it uses less digits than its factorization.

10430142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108647330 (or 108647322 counting only the distinct ones).

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

Adding to 10430142432 its reverse (23424103401), we get a palindrome (33854245833).

The spelling of 10430142432 in words is "ten billion, four hundred thirty million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 108647317 217294634 325941951 434589268 651883902 869178536 1303767804 1738357072 2607535608 3476714144 5215071216 10430142432