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31111234440 = 233511213433833
BaseRepresentation
bin11100111110010111…
…111100001110001000
32222022012021110110020
4130332113330032020
51002203434000230
622143045420440
72150652062256
oct347627741610
988265243406
1031111234440
1112215531a00
12604310a720
132c1a67a480
141711c6d5d6
15c2147d810
hex73e5fc388

31111234440 has 384 divisors, whose sum is σ = 113080302720. Its totient is φ = 6798274560.

The previous prime is 31111234333. The next prime is 31111234529. The reversal of 31111234440 is 4443211113.

It is a super-2 number, since 2×311112344402 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31111234440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8114764 + ... + 8118596.

It is an arithmetic number, because the mean of its divisors is an integer number (294479955).

Almost surely, 231111234440 is an apocalyptic number.

31111234440 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 31111234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56540151360).

31111234440 is an abundant number, since it is smaller than the sum of its proper divisors (81969068280).

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

31111234440 is a wasteful number, since it uses less digits than its factorization.

31111234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31111234440 its reverse (4443211113), we get a palindrome (35554445553).

The spelling of 31111234440 in words is "thirty-one billion, one hundred eleven million, two hundred thirty-four thousand, four hundred forty".