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324214248640 = 2652344050849
BaseRepresentation
bin1001011011111001010…
…11001101010011000000
31010222212001022022022211
410231330223031103000
520302442321424030
6404535244311504
732265221433412
oct4557453152300
91128761268284
10324214248640
11115553544737
1252a02842594
132475b630899
1411998dcc9b2
1586783c112a
hex4b7cacd4c0

324214248640 has 56 divisors (see below), whose sum is σ = 805601944800. Its totient is φ = 124047187968.

The previous prime is 324214248629. The next prime is 324214248643. The reversal of 324214248640 is 46842412423.

It is a super-2 number, since 2×3242142486402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 324214248593 and 324214248602.

It is not an unprimeable number, because it can be changed into a prime (324214248643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22018065 + ... + 22032784.

Almost surely, 2324214248640 is an apocalyptic number.

It is an amenable number.

324214248640 is an abundant number, since it is smaller than the sum of its proper divisors (481387696160).

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

324214248640 is a wasteful number, since it uses less digits than its factorization.

324214248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44050889 (or 44050879 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 324214248640 in words is "three hundred twenty-four billion, two hundred fourteen million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 44050849 88101698 176203396 220254245 352406792 440508490 704813584 881016980 1013169527 1409627168 1762033960 2026339054 2819254336 3524067920 4052678108 5065847635 7048135840 8105356216 10131695270 14096271680 16210712432 20263390540 32421424864 40526781080 64842849728 81053562160 162107124320 324214248640