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332432442241432 = 2313413171061231799
BaseRepresentation
bin100101110010110000111010…
…1101000011011000110011000
31121121001020020110212012002121
41023211201311220123012120
5322033033120203211212
63135005204454311024
7130010310551112541
oct11345416550330630
91547036213765077
10332432442241432
1196a17897170935
123134b774358474
1311365324a67310
145c13b5d3774c8
1528674e6254d07
hex12e5875a1b198

332432442241432 has 128 divisors (see below), whose sum is σ = 690452256816000. Its totient is φ = 149074671513600.

The previous prime is 332432442241423. The next prime is 332432442241499. The reversal of 332432442241432 is 234142244234233.

It is a super-2 number, since 2×3324324422414322 (a number of 30 digits) contains 22 as substring.

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, 1434025069 + ... + 1434256867.

It is an arithmetic number, because the mean of its divisors is an integer number (5394158256375).

Almost surely, 2332432442241432 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 332432442241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345226128408000).

332432442241432 is an abundant number, since it is smaller than the sum of its proper divisors (358019814574568).

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

332432442241432 is a wasteful number, since it uses less digits than its factorization.

332432442241432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233237 (or 233233 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 43.

Adding to 332432442241432 its reverse (234142244234233), we get a palindrome (566574686475665).

The spelling of 332432442241432 in words is "three hundred thirty-two trillion, four hundred thirty-two billion, four hundred forty-two million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 317 328 533 634 1061 1066 1268 2122 2132 2536 4121 4244 4264 8242 8488 12997 13793 16484 25994 27586 32968 43501 51988 55172 87002 103976 110344 168961 174004 231799 336337 337922 348008 463598 565513 672674 675844 927196 1131026 1345348 1351688 1854392 2262052 2690696 3013387 4372381 4524104 6026774 8744762 9503759 12053548 13789817 17489524 19007518 24107096 27579634 34979048 38015036 55159268 73480283 76030072 110318536 123548867 146960566 179267621 245938739 247097734 293921132 358535242 491877478 494195468 587842264 717070484 955243679 983754956 988390936 1434140968 1910487358 1967509912 3012691603 3197203607 3820974716 6025383206 6394407214 7641949432 10083488299 12050766412 12788814428 20166976598 24101532824 25577628856 39164990839 40333953196 77962580263 78329981678 80667906392 131085347887 155925160526 156659963356 262170695774 311850321052 313319926712 524341391548 623700642104 1013513543419 1048682783096 2027027086838 3196465790783 4054054173676 6392931581566 8108108347352 12785863163132 25571726326264 41554055280179 83108110560358 166216221120716 332432442241432