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22413400431422 = 271113223480110457
BaseRepresentation
bin1010001100010100001101…
…10001010101101100111110
32221100200220102011011201112
411012022012301111230332
510414210121002301142
6115400323553042022
74502212646145110
oct506120661255476
987320812134645
1022413400431422
117161519255730
12261ba4a556312
13c677614babb0
14576b588b33b0
1528d055e0a382
hex146286c55b3e

22413400431422 has 128 divisors (see below), whose sum is σ = 45356479193088. Its totient is φ = 8022177792000.

The previous prime is 22413400431419. The next prime is 22413400431427.

It is a happy number.

22413400431422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413400431427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143382018 + ... + 2143392474.

It is an arithmetic number, because the mean of its divisors is an integer number (354347493696).

Almost surely, 222413400431422 is an apocalyptic number.

22413400431422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22413400431422 is an abundant number, since it is smaller than the sum of its proper divisors (22943078761666).

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

22413400431422 is a wasteful number, since it uses less digits than its factorization.

22413400431422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 22413400 and 431422, that added together give a palindrome (22844822).

The spelling of 22413400431422 in words is "twenty-two trillion, four hundred thirteen billion, four hundred million, four hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 223 286 446 1001 1561 2002 2453 2899 3122 4801 4906 5798 9602 10457 17171 20293 20914 31889 33607 34342 40586 52811 62413 63778 67214 73199 105622 115027 124826 135941 146398 223223 230054 271882 369677 436891 446446 686543 739354 805189 873782 951587 1070623 1373086 1495351 1610378 1903174 2141246 2331911 2990702 4663822 4805801 7494361 9611602 10467457 11776853 13918099 14988722 16323377 20934914 23553706 25651021 27836198 30314843 32646754 50204057 51302042 60629686 82437971 97426693 100408114 153099089 164875942 179557147 194853386 212203901 306198178 333463273 351428399 359114294 424407802 552244627 652652741 666926546 702856798 1071693623 1104489254 1305305482 2143387246 2334242911 3865712389 4568569187 4668485822 7179180151 7731424778 9137138374 11195504711 14358360302 22391009422 50254261057 78368532977 100508522114 123150551821 145541561243 156737065954 246301103642 291083122486 862053862747 1018790928701 1600957173673 1724107725494 2037581857402 3201914347346 11206700215711 22413400431422