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40371217304 = 23112136730509
BaseRepresentation
bin100101100110010011…
…111110001110011000
310212012112120022220112
4211212103332032120
51130140012423204
630313555143452
72626302453665
oct454623761630
9125175508815
1040371217304
1116137555100
1279a82a4b88
133a64c56c82
141d4d9dca6c
1510b43b226e
hex9664fe398

40371217304 has 48 divisors (see below), whose sum is σ = 83266671600. Its totient is φ = 18336528320.

The previous prime is 40371217303. The next prime is 40371217319.

40371217304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40371217303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1308002 + ... + 1338510.

It is an arithmetic number, because the mean of its divisors is an integer number (1734722325).

Almost surely, 240371217304 is an apocalyptic number.

40371217304 is a gapful number since it is divisible by the number (44) 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 40371217304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41633335800).

40371217304 is an abundant number, since it is smaller than the sum of its proper divisors (42895454296).

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

40371217304 is a wasteful number, since it uses less digits than its factorization.

40371217304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904 (or 31889 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 40371217304 in words is "forty billion, three hundred seventy-one million, two hundred seventeen thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1367 2734 5468 10936 15037 30074 30509 60148 61018 120296 122036 165407 244072 330814 335599 661628 671198 1323256 1342396 2684792 3691589 7383178 14766356 29532712 41705803 83411606 166823212 333646424 458763833 917527666 1835055332 3670110664 5046402163 10092804326 20185608652 40371217304