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42132213405344 = 2517631122739971
BaseRepresentation
bin10011001010001101010111…
…00111010001011010100000
312112011210121101121202020002
421211012223213101122200
521010243233112432334
6225335134401235132
711605644344666666
oct1145065347213240
9175153541552202
1042132213405344
11124741980a01a7
124885609032aa8
131a6808744985a
14a592d23a0c36
154d0e50026b7e
hex2651ab9d16a0

42132213405344 has 48 divisors (see below), whose sum is σ = 87966265052736. Its totient is φ = 19795502361600.

The previous prime is 42132213405287. The next prime is 42132213405367. The reversal of 42132213405344 is 44350431223124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42132213405298 and 42132213405307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61026722 + ... + 61713249.

It is an arithmetic number, because the mean of its divisors is an integer number (1832630521932).

Almost surely, 242132213405344 is an apocalyptic number.

It is an amenable number.

42132213405344 is an abundant number, since it is smaller than the sum of its proper divisors (45834051647392).

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

42132213405344 is a wasteful number, since it uses less digits than its factorization.

42132213405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122740629 (or 122740621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 42132213405344 its reverse (44350431223124), we get a palindrome (86482644628468).

The spelling of 42132213405344 in words is "forty-two trillion, one hundred thirty-two billion, two hundred thirteen million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 631 1262 2524 5048 10096 10727 20192 21454 42908 85816 171632 343264 122739971 245479942 490959884 981919768 1963839536 2086579507 3927679072 4173159014 8346318028 16692636056 33385272112 66770544224 77448921701 154897843402 309795686804 619591373608 1239182747216 1316631668917 2478365494432 2633263337834 5266526675668 10533053351336 21066106702672 42132213405344