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2002404432132 = 223413835727767
BaseRepresentation
bin11101001000111000100…
…110101101100100000100
321002102120000012122210000
4131020320212231210010
5230301411013312012
64131520352201300
7264445306561206
oct35107046554404
97072500178700
102002404432132
11702240110285
122840b5239230
13116a97742490
146ccb9d44776
153714912bddc
hex1d2389ad904

2002404432132 has 120 divisors (see below), whose sum is σ = 5705269327296. Its totient is φ = 608701148352.

The previous prime is 2002404432109. The next prime is 2002404432139. The reversal of 2002404432132 is 2312344042002.

2002404432132 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 0 + 443 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2002404432096 and 2002404432105.

It is not an unprimeable number, because it can be changed into a prime (2002404432139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514288 + ... + 3213479.

Almost surely, 22002404432132 is an apocalyptic number.

It is an amenable number.

2002404432132 is an abundant number, since it is smaller than the sum of its proper divisors (3702864895164).

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

2002404432132 is a wasteful number, since it uses less digits than its factorization.

2002404432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727879 (or 5727868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2002404432132 its reverse (2312344042002), we get a palindrome (4314748474134).

The spelling of 2002404432132 in words is "two trillion, two billion, four hundred four million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 83 108 117 156 162 166 234 249 324 332 351 468 498 702 747 996 1053 1079 1404 1494 2106 2158 2241 2988 3237 4212 4316 4482 6474 6723 8964 9711 12948 13446 19422 26892 29133 38844 58266 87399 116532 174798 349596 5727767 11455534 17183301 22911068 34366602 51549903 68733204 74460971 103099806 148921942 154649709 206199612 223382913 297843884 309299418 446765826 463949127 475404661 618598836 670148739 893531652 927898254 950809322 1340297478 1426213983 1855796508 1901618644 2010446217 2680594956 2852427966 4020892434 4278641949 5704855932 6031338651 6180260593 8041784868 8557283898 12062677302 12360521186 12835925847 17114567796 18540781779 24125354604 24721042372 25671851694 37081563558 38507777541 51343703388 55622345337 74163127116 77015555082 111244690674 154031110164 166867036011 222489381348 333734072022 500601108033 667468144044 1001202216066 2002404432132