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40400241312 = 2535319939901
BaseRepresentation
bin100101101000000010…
…101100001010100000
310212021120011220100210
4211220002230022200
51130214430210222
630320513214120
72630104246044
oct455002541240
9125246156323
1040400241312
1116151979292
1279b5b61340
133a6ac79942
141d537d6024
1510b6be6d0c
hex9680ac2a0

40400241312 has 96 divisors (see below), whose sum is σ = 108597283200. Its totient is φ = 13145932800.

The previous prime is 40400241307. The next prime is 40400241331. The reversal of 40400241312 is 21314200404.

It is a tau number, because it is divible by the number of its divisors (96).

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, 992562 + ... + 1032462.

It is an arithmetic number, because the mean of its divisors is an integer number (1131221700).

Almost surely, 240400241312 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 40400241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54298641600).

40400241312 is an abundant number, since it is smaller than the sum of its proper divisors (68197041888).

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

40400241312 is a wasteful number, since it uses less digits than its factorization.

40400241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40166 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40400241312 its reverse (21314200404), we get a palindrome (61714441716).

The spelling of 40400241312 in words is "forty billion, four hundred million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 199 212 318 398 424 597 636 796 848 1194 1272 1592 1696 2388 2544 3184 4776 5088 6368 9552 10547 19104 21094 31641 39901 42188 63282 79802 84376 119703 126564 159604 168752 239406 253128 319208 337504 478812 506256 638416 957624 1012512 1276832 1915248 2114753 3830496 4229506 6344259 7940299 8459012 12688518 15880598 16918024 23820897 25377036 31761196 33836048 47641794 50754072 63522392 67672096 95283588 101508144 127044784 190567176 203016288 254089568 381134352 420835847 762268704 841671694 1262507541 1683343388 2525015082 3366686776 5050030164 6733373552 10100060328 13466747104 20200120656 40400241312