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40401121344 = 2631376315289
BaseRepresentation
bin100101101000000110…
…000011000001000000
310212021121211121112120
4211220012003001000
51130220141340334
630320544124240
72630114602533
oct455006030100
9125247747476
1040401121344
111615241a491
1279b6306680
133a6b1c737c
141d53984a1a
1510b6d1c949
hex968183040

40401121344 has 56 divisors (see below), whose sum is σ = 106909392480. Its totient is φ = 13465181184.

The previous prime is 40401121309. The next prime is 40401121351. The reversal of 40401121344 is 44312110404.

It is a super-2 number, since 2×404011213442 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634852 + ... + 2650140.

Almost surely, 240401121344 is an apocalyptic number.

It is an amenable number.

40401121344 is an abundant number, since it is smaller than the sum of its proper divisors (66508271136).

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

40401121344 is a wasteful number, since it uses less digits than its factorization.

40401121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29067 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40401121344 its reverse (44312110404), we get a palindrome (84713231748).

The spelling of 40401121344 in words is "forty billion, four hundred one million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 13763 15289 27526 30578 41289 45867 55052 61156 82578 91734 110104 122312 165156 183468 220208 244624 330312 366936 440416 489248 660624 733872 880832 978496 1321248 1467744 2642496 2935488 210422507 420845014 631267521 841690028 1262535042 1683380056 2525070084 3366760112 5050140168 6733520224 10100280336 13467040448 20200560672 40401121344