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1140011233220 = 225298944095009
BaseRepresentation
bin10000100101101101111…
…101101110111111000100
311000222120100021000022102
4100211231331232333010
5122134220333430340
62231414113051232
7145235353412156
oct20455575567704
94028510230272
101140011233220
113aa526691792
12164b37556b18
138366c2917c2
143d26935aad6
151e9c3456215
hex1096df6efc4

1140011233220 has 96 divisors (see below), whose sum is σ = 2505470940000. Its totient is φ = 435147603968.

The previous prime is 1140011233213. The next prime is 1140011233243. The reversal of 1140011233220 is 223321100411.

It can be written as a sum of positive squares in 16 ways, for example, as 683046049156 + 456965184064 = 826466^2 + 675992^2 .

It is a super-2 number, since 2×11400112332202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1140011233192 and 1140011233201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227590076 + ... + 227595084.

It is an arithmetic number, because the mean of its divisors is an integer number (26098655625).

Almost surely, 21140011233220 is an apocalyptic number.

1140011233220 is a gapful number since it is divisible by the number (10) 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 1140011233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252735470000).

1140011233220 is an abundant number, since it is smaller than the sum of its proper divisors (1365459706780).

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

1140011233220 is a wasteful number, since it uses less digits than its factorization.

1140011233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1140011233220 its reverse (223321100411), we get a palindrome (1363332333631).

The spelling of 1140011233220 in words is "one trillion, one hundred forty billion, eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1780 2581 4409 5009 5162 8818 10018 10324 12905 17636 20036 22045 25045 25810 44090 50090 51620 88180 100180 127861 145261 255722 290522 392401 445801 511444 581044 639305 726305 784802 891602 1278610 1452610 1569604 1783204 1962005 2229005 2557220 2905220 3924010 4458010 7848020 8916020 11379629 12928229 22084681 22759258 25856458 44169362 45518516 51712916 56898145 64641145 88338724 110423405 113796290 129282290 220846810 227592580 258564580 441693620 640455749 1280911498 1965536609 2561822996 3202278745 3931073218 6404557490 7862146436 9827683045 12809114980 19655366090 39310732180 57000561661 114001123322 228002246644 285002808305 570005616610 1140011233220