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22141121040 = 2433519539501
BaseRepresentation
bin10100100111101101…
…101011001000010000
32010011001102111011000
4110213231223020100
5330321111333130
614101013022000
71412451265203
oct244755531020
963131374130
1022141121040
1194320a3a45
12435b024900
13211b16266c
1411007d793a
15898c07260
hex527b6b210

22141121040 has 160 divisors (see below), whose sum is σ = 80277897600. Its totient is φ = 5593536000.

The previous prime is 22141121039. The next prime is 22141121047. The reversal of 22141121040 is 4012114122.

22141121040 is a `hidden beast` number, since 2 + 2 + 1 + 411 + 210 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22141121047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228711 + ... + 310790.

It is an arithmetic number, because the mean of its divisors is an integer number (501736860).

Almost surely, 222141121040 is an apocalyptic number.

22141121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141121040 is an abundant number, since it is smaller than the sum of its proper divisors (58136776560).

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

22141121040 is a wasteful number, since it uses less digits than its factorization.

22141121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539542 (or 539530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22141121040 its reverse (4012114122), we get a palindrome (26153235162).

The spelling of 22141121040 in words is "twenty-two billion, one hundred forty-one million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 539501 1079002 1618503 2158004 2697505 3237006 4316008 4855509 5395010 6474012 8092515 8632016 9711018 10250519 10790020 12948024 14566527 16185030 19422036 20501038 21580040 24277545 25896048 29133054 30751557 32370060 38844072 41002076 43160080 48555090 51252595 58266108 61503114 64740120 72832635 77688144 82004152 92254671 97110180 102505190 116532216 123006228 129480240 145665270 153757785 164008304 184509342 194220360 205010380 233064432 246012456 276764013 291330540 307515570 369018684 388440720 410020760 461273355 492024912 553528026 582661080 615031140 738037368 820041520 922546710 1107056052 1165322160 1230062280 1383820065 1476074736 1845093420 2214112104 2460124560 2767640130 3690186840 4428224208 5535280260 7380373680 11070560520 22141121040