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1082465040240 = 243251503423667
BaseRepresentation
bin11111100000001111111…
…00011011011101110000
310211111000211221111222200
433300013330123131300
5120213342022241430
62145135542303200
7141130331012613
oct17600774333560
93744024844880
101082465040240
11388086328211
12155957427b00
137b0cb00c43c
143a56a73217a
151d256357460
hexfc07f1b770

1082465040240 has 60 divisors (see below), whose sum is σ = 3635278429224. Its totient is φ = 288657343872.

The previous prime is 1082465040233. The next prime is 1082465040253. The reversal of 1082465040240 is 420405642801.

1082465040240 is a `hidden beast` number, since 1 + 0 + 8 + 246 + 5 + 0 + 402 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1082465040195 and 1082465040204.

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 11 ways as a sum of consecutive naturals, for example, 751711114 + ... + 751712553.

Almost surely, 21082465040240 is an apocalyptic number.

1082465040240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082465040240 is an abundant number, since it is smaller than the sum of its proper divisors (2552813388984).

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

1082465040240 is a wasteful number, since it uses less digits than its factorization.

1082465040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503423686 (or 1503423677 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1082465040240 in words is "one trillion, eighty-two billion, four hundred sixty-five million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1503423667 3006847334 4510271001 6013694668 7517118335 9020542002 12027389336 13530813003 15034236670 18041084004 22551355005 24054778672 27061626006 30068473340 36082168008 45102710010 54123252012 60136946680 67654065015 72164336016 90205420020 108246504024 120273893360 135308130030 180410840040 216493008048 270616260060 360821680080 541232520120 1082465040240