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32420241024 = 273741711383
BaseRepresentation
bin11110001100011001…
…011001111010000000
310002200102101212220120
4132030121121322000
51012344040203044
622521010140240
72225255334063
oct361431317200
9102612355816
1032420241024
1112827420a26
126349581680
133098919a92
1417d7a568da
15c9b34c519
hex78c659e80

32420241024 has 64 divisors (see below), whose sum is σ = 86135442240. Its totient is φ = 10804340736.

The previous prime is 32420241011. The next prime is 32420241041. The reversal of 32420241024 is 42014202423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32420240985 and 32420241003.

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, 2842437 + ... + 2853819.

It is an arithmetic number, because the mean of its divisors is an integer number (1345866285).

Almost surely, 232420241024 is an apocalyptic number.

It is an amenable number.

32420241024 is an abundant number, since it is smaller than the sum of its proper divisors (53715201216).

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

32420241024 is a wasteful number, since it uses less digits than its factorization.

32420241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18817 (or 18805 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32420241024 its reverse (42014202423), we get a palindrome (74434443447).

The spelling of 32420241024 in words is "thirty-two billion, four hundred twenty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7417 11383 14834 22251 22766 29668 34149 44502 45532 59336 68298 89004 91064 118672 136596 178008 182128 237344 273192 356016 364256 474688 546384 712032 728512 949376 1092768 1424064 1457024 2185536 2848128 4371072 84427711 168855422 253283133 337710844 506566266 675421688 1013132532 1350843376 2026265064 2701686752 4052530128 5403373504 8105060256 10806747008 16210120512 32420241024