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21431431273140 = 22335712301460913
BaseRepresentation
bin1001101111101111001001…
…10110010001101010110100
32210212211021021221102011000
410313313210312101222310
510302113032401220030
6113325244050043300
74341240563053530
oct467674466215264
983784237842130
1021431431273140
116913023268019
1224a167ab79530
13bc5c8a960a85
14541403004bc0
152727325e0860
hex137de4d91ab4

21431431273140 has 192 divisors, whose sum is σ = 76207004536320. Its totient is φ = 4898204006400.

The previous prime is 21431431273103. The next prime is 21431431273159. The reversal of 21431431273140 is 4137213413412.

21431431273140 is a `hidden beast` number, since 2 + 1 + 4 + 314 + 3 + 1 + 27 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21431431273095 and 21431431273104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46267324 + ... + 46728236.

It is an arithmetic number, because the mean of its divisors is an integer number (396911481960).

Almost surely, 221431431273140 is an apocalyptic number.

21431431273140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431431273140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38103502268160).

21431431273140 is an abundant number, since it is smaller than the sum of its proper divisors (54775573263180).

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

21431431273140 is a wasteful number, since it uses less digits than its factorization.

21431431273140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473239 (or 473231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 21431431273140 its reverse (4137213413412), we get a palindrome (25568644686552).

The spelling of 21431431273140 in words is "twenty-one trillion, four hundred thirty-one billion, four hundred thirty-one million, two hundred seventy-three thousand, one hundred forty".