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424324423424 = 2811971553437
BaseRepresentation
bin1100010110010111011…
…01001101111100000000
31111120020220021002222002
412023023231031330000
523423004023022144
6522533145003132
742441104042246
oct6131355157400
91446226232862
10424324423424
11153a56090780
126a2a14834a8
1331023c070b5
141677492c796
15b08712014e
hex62cbb4df00

424324423424 has 72 divisors (see below), whose sum is σ = 933516817968. Its totient is φ = 190886215680.

The previous prime is 424324423399. The next prime is 424324423427.

It is a happy number.

424324423424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4243244234242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424324423427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 503567 + ... + 1049870.

Almost surely, 2424324423424 is an apocalyptic number.

424324423424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424324423424 is an abundant number, since it is smaller than the sum of its proper divisors (509192394544).

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

424324423424 is a wasteful number, since it uses less digits than its factorization.

424324423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553561 (or 1553547 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 424324 and 423424, that added together give a palindrome (847748).

The spelling of 424324423424 in words is "four hundred twenty-four billion, three hundred twenty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 704 776 1067 1408 1552 2134 2816 3104 4268 6208 8536 12416 17072 24832 34144 68288 136576 273152 1553437 3106874 6213748 12427496 17087807 24854992 34175614 49709984 68351228 99419968 136702456 150683389 198839936 273404912 301366778 397679872 546809824 602733556 1093619648 1205467112 1657517279 2187239296 2410934224 3315034558 4374478592 4821868448 6630069116 9643736896 13260138232 19287473792 26520276464 38574947584 53040552928 106081105856 212162211712 424324423424