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40404420024 = 23337233195281
BaseRepresentation
bin100101101000010010…
…101000010110111000
310212021212001012110220
4211220102220112320
51130222012420044
630321142540040
72630154621633
oct455022502670
9125255035426
1040404420024
1116154272871
1279b7437620
133a6bab0957
141d541a2c1a
1510b7270019
hex9684a85b8

40404420024 has 64 divisors (see below), whose sum is σ = 104186852640. Its totient is φ = 13047828480.

The previous prime is 40404420011. The next prime is 40404420031. The reversal of 40404420024 is 42002440404.

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

It is a junction number, because it is equal to n+sod(n) for n = 40404419976 and 40404420003.

It is a congruent number.

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, 109264 + ... + 304544.

Almost surely, 240404420024 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 40404420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093426320).

40404420024 is an abundant number, since it is smaller than the sum of its proper divisors (63782432616).

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

40404420024 is a wasteful number, since it uses less digits than its factorization.

40404420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195560 (or 195556 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40404420024 its reverse (42002440404), we get a palindrome (82406860428).

The spelling of 40404420024 in words is "forty billion, four hundred four million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 233 296 444 466 699 888 932 1398 1864 2796 5592 8621 17242 25863 34484 51726 68968 103452 195281 206904 390562 585843 781124 1171686 1562248 2343372 4686744 7225397 14450794 21676191 28901588 43352382 45500473 57803176 86704764 91000946 136501419 173409528 182001892 273002838 364003784 546005676 1092011352 1683517501 3367035002 5050552503 6734070004 10101105006 13468140008 20202210012 40404420024