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40222114344 = 23324342130859
BaseRepresentation
bin100101011101011011…
…001100001000101000
310211211011000010002200
4211131123030020220
51124333330124334
630251111300200
72622512221326
oct453533141050
9124734003080
1040222114344
1116070375915
12796637a660
133a400b0479
141d37ca8d16
1510a625d799
hex95d6cc228

40222114344 has 96 divisors (see below), whose sum is σ = 111736653600. Its totient is φ = 13064042880.

The previous prime is 40222114343. The next prime is 40222114367. The reversal of 40222114344 is 44341122204.

40222114344 is a `hidden beast` number, since 4 + 0 + 2 + 221 + 1 + 434 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (40222114343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287987 + ... + 1318845.

It is an arithmetic number, because the mean of its divisors is an integer number (1163923475).

Almost surely, 240222114344 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 40222114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55868326800).

40222114344 is an abundant number, since it is smaller than the sum of its proper divisors (71514539256).

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

40222114344 is a wasteful number, since it uses less digits than its factorization.

40222114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31335 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40222114344 its reverse (44341122204), we get a palindrome (84563236548).

The spelling of 40222114344 in words is "forty billion, two hundred twenty-two million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 421 516 774 842 1032 1263 1548 1684 2526 3096 3368 3789 5052 7578 10104 15156 18103 30312 30859 36206 54309 61718 72412 92577 108618 123436 144824 162927 185154 217236 246872 277731 325854 370308 434472 555462 651708 740616 1110924 1303416 1326937 2221848 2653874 3980811 5307748 7961622 10615496 11942433 12991639 15923244 23884866 25983278 31846488 38974917 47769732 51966556 77949834 95539464 103933112 116924751 155899668 233849502 311799336 467699004 558640477 935398008 1117280954 1675921431 2234561908 3351842862 4469123816 5027764293 6703685724 10055528586 13407371448 20111057172 40222114344