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40147380000 = 2533547131943
BaseRepresentation
bin100101011000111110…
…000110011100100000
310211121221101012212000
4211120332012130200
51124210212130000
630235441404000
72620614046050
oct453076063440
9124557335760
1040147380000
11160321708a2
127945339600
133a2a774a70
141d2bdb3560
15109e8ea000
hex958f86720

40147380000 has 1920 divisors, whose sum is σ = 193977907200. Its totient is φ = 7838208000.

The previous prime is 40147379941. The next prime is 40147380001. The reversal of 40147380000 is 8374104.

It is a super-2 number, since 2×401473800002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40147380001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 933659979 + ... + 933660021.

It is an arithmetic number, because the mean of its divisors is an integer number (101030160).

Almost surely, 240147380000 is an apocalyptic number.

40147380000 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 40147380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96988953600).

40147380000 is an abundant number, since it is smaller than the sum of its proper divisors (153830527200).

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

40147380000 is a wasteful number, since it uses less digits than its factorization.

40147380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 40147380000 in words is "forty billion, one hundred forty-seven million, three hundred eighty thousand".