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1140244400020 = 22511311491122089
BaseRepresentation
bin10000100101111011110…
…111001100011110010100
311001000011121000010000211
4100211323313030132110
5122140210031300040
62231453202415204
7145244214324565
oct20457367143624
94030147003024
101140244400020
113aa636268420
12164ba1661504
13836a868c31b
143d28c2d416c
151e9d8b628ea
hex1097bdcc794

1140244400020 has 96 divisors (see below), whose sum is σ = 2714560128000. Its totient is φ = 398565657600.

The previous prime is 1140244399993. The next prime is 1140244400033. The reversal of 1140244400020 is 200044420411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1140244399964 and 1140244400000.

It is a congruent number.

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, 455136 + ... + 1577224.

It is an arithmetic number, because the mean of its divisors is an integer number (28276668000).

Almost surely, 21140244400020 is an apocalyptic number.

1140244400020 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 1140244400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357280064000).

1140244400020 is an abundant number, since it is smaller than the sum of its proper divisors (1574315727980).

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

1140244400020 is a wasteful number, since it uses less digits than its factorization.

1140244400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122289 (or 1122287 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1140244400020 its reverse (200044420411), we get a palindrome (1340288820431).

The spelling of 1140244400020 in words is "one trillion, one hundred forty billion, two hundred forty-four million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 149 155 220 298 310 341 596 620 682 745 1364 1490 1639 1705 2980 3278 3410 4619 6556 6820 8195 9238 16390 18476 23095 32780 46190 50809 92380 101618 203236 254045 508090 1016180 1122089 2244178 4488356 5610445 11220890 12342979 22441780 24685958 34784759 49371916 61714895 69569518 123429790 139139036 167191261 173923795 246859580 334382522 347847590 382632349 668765044 695695180 765264698 835956305 1530529396 1671912610 1839103871 1913161745 3343825220 3678207742 3826323490 5182929091 7356415484 7652646980 9195519355 10365858182 18391038710 20731716364 25914645455 36782077420 51829290910 57012220001 103658581820 114024440002 228048880004 285061100005 570122200010 1140244400020