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31240033142040 = 233357314914291861
BaseRepresentation
bin1110001101001101000110…
…00101000000010100011000
311002121111222121211012022000
413012212203011000110120
513043314041441021130
6150235250105001000
76403006100236122
oct706464305002430
9132544877735260
1031240033142040
119a549073122a8
12360663ba83160
131457bcb911688
147a005062c212
15392959346260
hex1c69a3140518

31240033142040 has 512 divisors, whose sum is σ = 106399893600000. Its totient is φ = 8151318282240.

The previous prime is 31240033141997. The next prime is 31240033142047. The reversal of 31240033142040 is 4024133004213.

31240033142040 is a `hidden beast` number, since 3 + 12 + 400 + 33 + 14 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31240033141995 and 31240033142013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31240033142047) 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 127 ways as a sum of consecutive naturals, for example, 16786690710 + ... + 16786692570.

Almost surely, 231240033142040 is an apocalyptic number.

31240033142040 is a gapful number since it is divisible by the number (30) 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 31240033142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53199946800000).

31240033142040 is an abundant number, since it is smaller than the sum of its proper divisors (75159860457960).

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

31240033142040 is a wasteful number, since it uses less digits than its factorization.

31240033142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31240033142040 its reverse (4024133004213), we get a palindrome (35264166146253).

The spelling of 31240033142040 in words is "thirty-one trillion, two hundred forty billion, thirty-three million, one hundred forty-two thousand, forty".