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924323131043004 = 22371129191400145139
BaseRepresentation
bin1101001000101010101011111…
…1111000100010110010111100
311111012202102120021001201200210
43102022222333320202302330
51432123102233021334004
613033512103452352420
7365460066601454040
oct32212527770426274
94435672507051623
10924323131043004
11248577269468330
1287804022475710
133089b3b30a1094
141243769a444020
1571cdb74ac4089
hex348aabfe22cbc

924323131043004 has 384 divisors, whose sum is σ = 2796986607206400. Its totient is φ = 230528793600000.

The previous prime is 924323131042979. The next prime is 924323131043009. The reversal of 924323131043004 is 400340131323429.

It is a super-2 number, since 2×9243231310430042 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (924323131043009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20477239467 + ... + 20477284605.

It is an arithmetic number, because the mean of its divisors is an integer number (7283819289600).

Almost surely, 2924323131043004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 924323131043004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398493303603200).

924323131043004 is an abundant number, since it is smaller than the sum of its proper divisors (1872663476163396).

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

924323131043004 is a wasteful number, since it uses less digits than its factorization.

924323131043004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49385 (or 49383 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 924323131043004 in words is "nine hundred twenty-four trillion, three hundred twenty-three billion, one hundred thirty-one million, forty-three thousand, four".