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32253340455440 = 2451331012827361
BaseRepresentation
bin1110101010101100100001…
…11001101001001000010000
311020012101111202022011222022
413111112100321221020100
513211414320124033230
6152332551405231012
76536140562262206
oct725262071511020
9136171452264868
1032253340455440
11a305623931765
12374aab6562468
1314cc627b3a750
147d70da159076
153adeb3eb51e5
hex1d5590e69210

32253340455440 has 40 divisors (see below), whose sum is σ = 80757402450648. Its totient is φ = 11908925706240.

The previous prime is 32253340455353. The next prime is 32253340455467. The reversal of 32253340455440 is 4455404335223.

It can be written as a sum of positive squares in 4 ways, for example, as 2042795581696 + 30210544873744 = 1429264^2 + 5496412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32253340455391 and 32253340455400.

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 7 ways as a sum of consecutive naturals, for example, 15506412641 + ... + 15506414720.

Almost surely, 232253340455440 is an apocalyptic number.

It is an amenable number.

32253340455440 is an abundant number, since it is smaller than the sum of its proper divisors (48504061995208).

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

32253340455440 is a wasteful number, since it uses less digits than its factorization.

32253340455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31012827387 (or 31012827381 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 44.

The spelling of 32253340455440 in words is "thirty-two trillion, two hundred fifty-three billion, three hundred forty million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 31012827361 62025654722 124051309444 155064136805 248102618888 310128273610 403166755693 496205237776 620256547220 806333511386 1240513094440 1612667022772 2015833778465 2481026188880 3225334045544 4031667556930 6450668091088 8063335113860 16126670227720 32253340455440