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381142679040 = 293356190397
BaseRepresentation
bin1011000101111011101…
…11111011111000000000
31100102210111012012201000
411202331313323320000
522221040011212130
6451032230212000
736352033213614
oct5427567737000
91312714165630
10381142679040
11137707119022
1261a4bab4000
1329c31908466
1414639969344
159dab144260
hex58bddfbe00

381142679040 has 320 divisors, whose sum is σ = 1376060051520. Its totient is φ = 99970744320.

The previous prime is 381142679017. The next prime is 381142679063. The reversal of 381142679040 is 40976241183.

381142679040 is a `hidden beast` number, since 381 + 1 + 4 + 267 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381142679017) and next prime (381142679063).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×3811426790403 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171122 + ... + 4261518.

It is an arithmetic number, because the mean of its divisors is an integer number (4300187661).

Almost surely, 2381142679040 is an apocalyptic number.

381142679040 is a gapful number since it is divisible by the number (30) 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 381142679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688030025760).

381142679040 is an abundant number, since it is smaller than the sum of its proper divisors (994917372480).

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

381142679040 is an equidigital number, since it uses as much as digits as its factorization.

381142679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90490 (or 90468 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 381142679040 in words is "three hundred eighty-one billion, one hundred forty-two million, six hundred seventy-nine thousand, forty".