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61140440311140 = 22352129478631911
BaseRepresentation
bin11011110011011010111100…
…01110011110010101100100
322000110222011102000221112110
431321231132032132111210
531003211110204424030
6334011310332121020
715610152051560631
oct1571553616362544
9260428142027473
1061140440311140
111853257369a443
126a35515906170
1328166989c2948
1411152daa67188
1571060aa131b0
hex379b5e39e564

61140440311140 has 48 divisors (see below), whose sum is σ = 171273643390080. Its totient is φ = 16296459271680.

The previous prime is 61140440311117. The next prime is 61140440311169. The reversal of 61140440311140 is 4111304404116.

It is a super-3 number, since 3×611404403111403 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61140440311098 and 61140440311107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239188216 + ... + 239443695.

It is an arithmetic number, because the mean of its divisors is an integer number (3568200903960).

Almost surely, 261140440311140 is an apocalyptic number.

61140440311140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61140440311140 is an abundant number, since it is smaller than the sum of its proper divisors (110133203078940).

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

61140440311140 is a wasteful number, since it uses less digits than its factorization.

61140440311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478634052 (or 478634050 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 61140440311140 its reverse (4111304404116), we get a palindrome (65251744715256).

The spelling of 61140440311140 in words is "sixty-one trillion, one hundred forty billion, four hundred forty million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2129 4258 6387 8516 10645 12774 21290 25548 31935 42580 63870 127740 478631911 957263822 1435895733 1914527644 2393159555 2871791466 4786319110 5743582932 7179478665 9572638220 14358957330 28717914660 1019007338519 2038014677038 3057022015557 4076029354076 5095036692595 6114044031114 10190073385190 12228088062228 15285110077785 20380146770380 30570220155570 61140440311140