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40252371408 = 24322411159877
BaseRepresentation
bin100101011111001110…
…100111000111010000
310211220020221022222200
4211133032213013100
51124414101341113
630254112003200
72623330340334
oct453716470720
9124806838880
1040252371408
1116086461457
127974530500
133a46445462
141d3bd037c4
1510a8c38873
hex95f3a71d0

40252371408 has 60 divisors (see below), whose sum is σ = 113118261828. Its totient is φ = 13361771520.

The previous prime is 40252371371. The next prime is 40252371443. The reversal of 40252371408 is 80417325204.

It is a happy number.

40252371408 is a `hidden beast` number, since 402 + 5 + 237 + 14 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10450563984 + 29801807424 = 102228^2 + 172632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 545235 + ... + 614642.

Almost surely, 240252371408 is an apocalyptic number.

40252371408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40252371408 is an abundant number, since it is smaller than the sum of its proper divisors (72865890420).

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

40252371408 is a wasteful number, since it uses less digits than its factorization.

40252371408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160132 (or 1160123 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40252371408 in words is "forty billion, two hundred fifty-two million, three hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 34704 1159877 2319754 3479631 4639508 6959262 9279016 10438893 13918524 18558032 20877786 27837048 41755572 55674096 83511144 167022288 279530357 559060714 838591071 1118121428 1677182142 2236242856 2515773213 3354364284 4472485712 5031546426 6708728568 10063092852 13417457136 20126185704 40252371408