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31441214376 = 2332111343471511
BaseRepresentation
bin11101010010000010…
…101101101110101000
310000011012012011211100
4131102002231232220
51003342422330001
622235514201400
72162066625015
oct352202555650
9100135164740
1031441214376
11123748227a0
126115723260
132c70b44080
141743a0870c
15c40410586
hex7520adba8

31441214376 has 384 divisors, whose sum is σ = 104613949440. Its totient is φ = 8401881600.

The previous prime is 31441214303. The next prime is 31441214377. The reversal of 31441214376 is 67341214413.

31441214376 is a `hidden beast` number, since 3 + 1 + 441 + 2 + 143 + 76 = 666.

It is a super-2 number, since 2×314412143762 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31441214376.

It is not an unprimeable number, because it can be changed into a prime (31441214377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20807461 + ... + 20808971.

It is an arithmetic number, because the mean of its divisors is an integer number (272432160).

Almost surely, 231441214376 is an apocalyptic number.

31441214376 is a gapful number since it is divisible by the number (36) 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 31441214376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52306974720).

31441214376 is an abundant number, since it is smaller than the sum of its proper divisors (73172735064).

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

31441214376 is a wasteful number, since it uses less digits than its factorization.

31441214376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1630 counting only the distinct ones).

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

Adding to 31441214376 its reverse (67341214413), we get a palindrome (98782428789).

The spelling of 31441214376 in words is "thirty-one billion, four hundred forty-one million, two hundred fourteen thousand, three hundred seventy-six".