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11422311221040 = 2435471012616243
BaseRepresentation
bin1010011000110111011011…
…0011011000011100110000
31111102221222111201111210020
42212031312303120130300
52444120343133033130
640143200510403440
72256143343266106
oct246156663303460
944387874644706
1011422311221040
1137041a19a5965
121345878b00580
1364b172210725
142b6bb296dc76
1514c1c1ba9e10
hexa6376cd8730

11422311221040 has 80 divisors (see below), whose sum is σ = 36162551305728. Its totient is φ = 2981142216448.

The previous prime is 11422311221017. The next prime is 11422311221047. The reversal of 11422311221040 is 4012211322411.

11422311221040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 11422311221040.

It is not an unprimeable number, because it can be changed into a prime (11422311221047) 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, 506296842 + ... + 506319401.

Almost surely, 211422311221040 is an apocalyptic number.

11422311221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11422311221040 is an abundant number, since it is smaller than the sum of its proper divisors (24740240084688).

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

11422311221040 is a wasteful number, since it uses less digits than its factorization.

11422311221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012616306 (or 1012616300 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11422311221040 its reverse (4012211322411), we get a palindrome (15434522543451).

The spelling of 11422311221040 in words is "eleven trillion, four hundred twenty-two billion, three hundred eleven million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 1012616243 2025232486 3037848729 4050464972 5063081215 6075697458 8100929944 10126162430 12151394916 15189243645 16201859888 20252324860 24302789832 30378487290 40504649720 47592963421 48605579664 60756974580 81009299440 95185926842 121513949160 142778890263 190371853684 237964817105 243027898320 285557780526 380743707368 475929634210 571115561052 713894451315 761487414736 951859268420 1142231122104 1427788902630 1903718536840 2284462244208 2855577805260 3807437073680 5711155610520 11422311221040