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22432121242140 = 2235409991209731
BaseRepresentation
bin1010001100110111000101…
…00111100100001000011100
32221102111020002122220011110
411012123202213210020130
510420011441014222030
6115413101345022020
74503444606335151
oct506334247441034
987374202586143
1022432121242140
117169455700925
1226235b4024910
13c69455b65c9c
14577a12d34228
1528d79e6e71b0
hex1466e29e421c

22432121242140 has 48 divisors (see below), whose sum is σ = 62825263401600. Its totient is φ = 5980439576640.

The previous prime is 22432121242133. The next prime is 22432121242163. The reversal of 22432121242140 is 4124212123422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22432121242098 and 22432121242107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45358926 + ... + 45850805.

It is an arithmetic number, because the mean of its divisors is an integer number (1308859654200).

Almost surely, 222432121242140 is an apocalyptic number.

22432121242140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22432121242140 is an abundant number, since it is smaller than the sum of its proper divisors (40393142159460).

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

22432121242140 is a wasteful number, since it uses less digits than its factorization.

22432121242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91213842 (or 91213840 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22432121242140 its reverse (4124212123422), we get a palindrome (26556333365562).

The spelling of 22432121242140 in words is "twenty-two trillion, four hundred thirty-two billion, one hundred twenty-one million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4099 8198 12297 16396 20495 24594 40990 49188 61485 81980 122970 245940 91209731 182419462 273629193 364838924 456048655 547258386 912097310 1094516772 1368145965 1824194620 2736291930 5472583860 373868687369 747737374738 1121606062107 1495474749476 1869343436845 2243212124214 3738686873690 4486424248428 5608030310535 7477373747380 11216060621070 22432121242140