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40567290144 = 2531091387329
BaseRepresentation
bin100101110001111111…
…111011100100100000
310212201012111212021120
4211301333323210200
51131040211241034
630345241452240
72634203163633
oct456177734440
9125635455246
1040567290144
11162281a5577
127a41aa1080
133a967678c4
141d6ba7bc1a
1510c66e2c49
hex971ffb920

40567290144 has 48 divisors (see below), whose sum is σ = 106587018720. Its totient is φ = 13510000640.

The previous prime is 40567290121. The next prime is 40567290149. The reversal of 40567290144 is 44109276504.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 40567290096 and 40567290105.

It is not an unprimeable number, because it can be changed into a prime (40567290149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88929 + ... + 298400.

It is an arithmetic number, because the mean of its divisors is an integer number (2220562890).

Almost surely, 240567290144 is an apocalyptic number.

It is an amenable number.

40567290144 is an abundant number, since it is smaller than the sum of its proper divisors (66019728576).

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

40567290144 is a wasteful number, since it uses less digits than its factorization.

40567290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388433 (or 388425 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 40567290144 in words is "forty billion, five hundred sixty-seven million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1091 2182 3273 4364 6546 8728 13092 17456 26184 34912 52368 104736 387329 774658 1161987 1549316 2323974 3098632 4647948 6197264 9295896 12394528 18591792 37183584 422575939 845151878 1267727817 1690303756 2535455634 3380607512 5070911268 6761215024 10141822536 13522430048 20283645072 40567290144