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1431229644 = 22321319712267
BaseRepresentation
bin101010101001110…
…1101010011001100
310200202002222222100
41111103231103030
510412343322034
6354004115100
750316152115
oct12523552314
93622088870
101431229644
1167498a019
1233b395a90
1319a694360
14d812120c
15859b3099
hex554ed4cc

1431229644 has 144 divisors (see below), whose sum is σ = 4160782080. Its totient is φ = 411143040.

The previous prime is 1431229621. The next prime is 1431229697. The reversal of 1431229644 is 4469221341.

1431229644 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 2 + 9 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1431229599 and 1431229608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630199 + ... + 632465.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 21431229644 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 1431229644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1431229644 is an abundant number, since it is smaller than the sum of its proper divisors (2729552436).

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

1431229644 is a wasteful number, since it uses less digits than its factorization.

1431229644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1431229644 is about 37831.5958426287. The cubic root of 1431229644 is about 1126.9460031599.

It can be divided in two parts, 14312 and 29644, that added together give a triangular number (43956 = T296).

The spelling of 1431229644 in words is "one billion, four hundred thirty-one million, two hundred twenty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 71 76 78 114 117 142 156 171 213 228 234 247 284 342 426 468 494 639 684 741 852 923 988 1278 1349 1482 1846 2223 2267 2556 2698 2769 2964 3692 4047 4446 4534 5396 5538 6801 8094 8307 8892 9068 11076 12141 13602 16188 16614 17537 20403 24282 27204 29471 33228 35074 40806 43073 48564 52611 58942 70148 81612 86146 88413 105222 117884 129219 157833 160957 172292 176826 210444 258438 265239 315666 321914 353652 387657 482871 516876 530478 559949 631332 643828 775314 965742 1060956 1119898 1448613 1550628 1679847 1931484 2092441 2239796 2897226 3058183 3359694 4184882 5039541 5794452 6116366 6277323 6719388 8369764 9174549 10079082 12232732 12554646 18349098 18831969 20158164 25109292 27523647 36698196 37663938 39756379 55047294 75327876 79512758 110094588 119269137 159025516 238538274 357807411 477076548 715614822 1431229644