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4378328136240 = 24351923891972381
BaseRepresentation
bin111111101101101000101…
…100010111101000110000
3120111120020012211022202020
4333231220230113220300
51033213304000324430
613151213130551440
7631216024051632
oct77555054275060
916446205738666
104378328136240
1114389250a9a63
125a8671298580
13259b4a584446
14111cab17aa52
1578d54e90b10
hex3fb68b17a30

4378328136240 has 640 divisors, whose sum is σ = 15158758348800. Its totient is φ = 1040377282560.

The previous prime is 4378328136233. The next prime is 4378328136241. The reversal of 4378328136240 is 426318238734.

It is not an unprimeable number, because it can be changed into a prime (4378328136241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1838859850 + ... + 1838862230.

It is an arithmetic number, because the mean of its divisors is an integer number (23685559920).

Almost surely, 24378328136240 is an apocalyptic number.

4378328136240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4378328136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579379174400).

4378328136240 is an abundant number, since it is smaller than the sum of its proper divisors (10780430212560).

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

4378328136240 is a wasteful number, since it uses less digits than its factorization.

4378328136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 4378328136240 in words is "four trillion, three hundred seventy-eight billion, three hundred twenty-eight million, one hundred thirty-six thousand, two hundred forty".