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332042413040 = 24513417787111
BaseRepresentation
bin1001101010011110100…
…01010010001111110000
31011202001121101021002122
410311033101102033300
520420010324204130
6412312125133412
732663214641222
oct4651721221760
91152047337078
10332042413040
11118900316498
12544283ba268
132540839b020
14120dc926412
1589857772e5
hex4d4f4523f0

332042413040 has 80 divisors (see below), whose sum is σ = 851660865216. Its totient is φ = 119610009600.

The previous prime is 332042413039. The next prime is 332042413051. The reversal of 332042413040 is 40314240233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3320424130402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850916 + ... + 3936195.

Almost surely, 2332042413040 is an apocalyptic number.

It is an amenable number.

332042413040 is an abundant number, since it is smaller than the sum of its proper divisors (519618452176).

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

332042413040 is a wasteful number, since it uses less digits than its factorization.

332042413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787178 (or 7787172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 332042413040 its reverse (40314240233), we get a palindrome (372356653273).

The spelling of 332042413040 in words is "three hundred thirty-two billion, forty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 21320 42640 7787111 15574222 31148444 38935555 62296888 77871110 101232443 124593776 155742220 202464886 311484440 319271551 404929772 506162215 622968880 638543102 809859544 1012324430 1277086204 1596357755 1619719088 2024648860 2554172408 3192715510 4049297720 4150530163 5108344816 6385431020 8098595440 8301060326 12770862040 16602120652 20752650815 25541724080 33204241304 41505301630 66408482608 83010603260 166021206520 332042413040