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1140300223040 = 265112971109037
BaseRepresentation
bin10000100101111111001…
…100001001001001000000
311001000022111001012211002
4100211333030021021000
5122140313324114130
62231502515111132
7145245462654116
oct20457714111100
94030274035732
101140300223040
113aa664826050
12164bb82a24a8
13836b7105cb4
143d2958a5ab6
151e9dd9dcb45
hex1097f309240

1140300223040 has 112 divisors (see below), whose sum is σ = 2963213198784. Its totient is φ = 414511257600.

The previous prime is 1140300223021. The next prime is 1140300223043. The reversal of 1140300223040 is 403220030411.

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

It is not an unprimeable number, because it can be changed into a prime (1140300223043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10403402 + ... + 10512438.

Almost surely, 21140300223040 is an apocalyptic number.

1140300223040 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 1140300223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481606599392).

1140300223040 is an abundant number, since it is smaller than the sum of its proper divisors (1822912975744).

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

1140300223040 is a wasteful number, since it uses less digits than its factorization.

1140300223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112036 (or 112026 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1140300223040 its reverse (403220030411), we get a palindrome (1543520253451).

The spelling of 1140300223040 in words is "one trillion, one hundred forty billion, three hundred million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2971 3520 5942 11884 14855 23768 29710 32681 47536 59420 65362 95072 109037 118840 130724 163405 190144 218074 237680 261448 326810 436148 475360 522896 545185 653620 872296 950720 1045792 1090370 1199407 1307240 1744592 2091584 2180740 2398814 2614480 3489184 4361480 4797628 5228960 5997035 6978368 8722960 9595256 10457920 11994070 17445920 19190512 23988140 34891840 38381024 47976280 76762048 95952560 191905120 323948927 383810240 647897854 1295795708 1619744635 2591591416 3239489270 3563438197 5183182832 6478978540 7126876394 10366365664 12957957080 14253752788 17817190985 20732731328 25915914160 28507505576 35634381970 51831828320 57015011152 71268763940 103663656640 114030022304 142537527880 228060044608 285075055760 570150111520 1140300223040