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4022335041432 = 233316190419803
BaseRepresentation
bin111010100010000101110…
…110011110111110011000
3112020112100110000100211220
4322202011312132332120
51011400220232311212
612315500223252040
7563414132505021
oct72420566367630
915215313010756
104022335041432
1113109542a58a4
1254b67ba4a020
132323c6197096
14dc9797b5c48
156e96bc1a38c
hex3a885d9ef98

4022335041432 has 128 divisors (see below), whose sum is σ = 10552630302720. Its totient is φ = 1275985152000.

The previous prime is 4022335041317. The next prime is 4022335041509. The reversal of 4022335041432 is 2341405332204.

It is a super-2 number, since 2×40223350414322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022335041393 and 4022335041402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410311843 + ... + 410321645.

It is an arithmetic number, because the mean of its divisors is an integer number (82442424240).

Almost surely, 24022335041432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022335041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276315151360).

4022335041432 is an abundant number, since it is smaller than the sum of its proper divisors (6530295261288).

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

4022335041432 is a wasteful number, since it uses less digits than its factorization.

4022335041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18941 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 4022335041432 in words is "four trillion, twenty-two billion, three hundred thirty-five million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 5673 7564 9041 9803 11346 15128 18082 19606 22692 27123 29409 36164 39212 45384 54246 58818 72328 78424 108492 117636 216984 235272 280271 303893 551501 560542 597983 607786 840813 911679 1103002 1121084 1195966 1215572 1654503 1681626 1793949 1823358 2206004 2242168 2391932 2431144 3309006 3363252 3587898 3646716 4412008 4783864 6618012 6726504 7175796 7293432 13236024 14351592 17096531 18537473 34193062 37074946 51289593 55612419 68386124 74149892 88628923 102579186 111224838 136772248 148299784 177257846 205158372 222449676 265886769 354515692 410316744 444899352 531773538 709031384 1063547076 2127094152 2747496613 5406364303 5494993226 8242489839 10812728606 10989986452 16219092909 16484979678 21625457212 21979972904 32438185818 32969959356 43250914424 64876371636 65939918712 129752743272 167597293393 335194586786 502791880179 670389173572 1005583760358 1340778347144 2011167520716 4022335041432