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40122123504 = 24317283173743
BaseRepresentation
bin100101010111011101…
…110000010011110000
310211120011212001110020
4211113131300103300
51124132230423004
630233140203440
72620156265001
oct452735602360
9124504761406
1040122123504
1116019990261
127938999580
133a25470ba8
141d288bb1a8
15109c5ab8d9
hex9577704f0

40122123504 has 80 divisors (see below), whose sum is σ = 110134236672. Its totient is φ = 12542782464.

The previous prime is 40122123467. The next prime is 40122123637. The reversal of 40122123504 is 40532122104.

40122123504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144057 + ... + 317799.

Almost surely, 240122123504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122123504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55067118336).

40122123504 is an abundant number, since it is smaller than the sum of its proper divisors (70012113168).

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

40122123504 is a wasteful number, since it uses less digits than its factorization.

40122123504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174054 (or 174048 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40122123504 its reverse (40532122104), we get a palindrome (80654245608).

The spelling of 40122123504 in words is "forty billion, one hundred twenty-two million, one hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 283 408 566 816 849 1132 1698 2264 3396 4528 4811 6792 9622 13584 14433 19244 28866 38488 57732 76976 115464 173743 230928 347486 521229 694972 1042458 1389944 2084916 2779888 2953631 4169832 5907262 8339664 8860893 11814524 17721786 23629048 35443572 47258096 49169269 70887144 98338538 141774288 147507807 196677076 295015614 393354152 590031228 786708304 835877573 1180062456 1671755146 2360124912 2507632719 3343510292 5015265438 6687020584 10030530876 13374041168 20061061752 40122123504