Search a number
-
+
1431717144 = 23311133113457
BaseRepresentation
bin101010101010110…
…0100010100011000
310200210000202200220
41111111210110120
510413004422034
6354022400040
750323252314
oct12525442430
93623022626
101431717144
11675192310
1233b590020
1319a805210
14d820ab44
1585a5c749
hex55564518

1431717144 has 128 divisors (see below), whose sum is σ = 4341012480. Its totient is φ = 387532800.

The previous prime is 1431717139. The next prime is 1431717151. The reversal of 1431717144 is 4417171341.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99664 + ... + 113120.

It is an arithmetic number, because the mean of its divisors is an integer number (33914160).

Almost surely, 21431717144 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 1431717144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170506240).

1431717144 is an abundant number, since it is smaller than the sum of its proper divisors (2909295336).

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

1431717144 is a wasteful number, since it uses less digits than its factorization.

1431717144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521 (or 13517 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 1431717144 is about 37838.0383212449. The cubic root of 1431717144 is about 1127.0739406561.

Adding to 1431717144 its reverse (4417171341), we get a palindrome (5848888485).

The spelling of 1431717144 in words is "one billion, four hundred thirty-one million, seven hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 8184 8866 9672 13299 13457 17732 26598 26914 35464 40371 53196 53828 80742 106392 107656 148027 161484 174941 296054 322968 349882 417167 444081 524823 592108 699764 834334 888162 1049646 1184216 1251501 1399528 1668668 1776324 1924351 2099292 2503002 3337336 3552648 3848702 4198584 4588837 5006004 5423171 5773053 7697404 9177674 10012008 10846342 11546106 13766511 15394808 16269513 18355348 21692684 23092212 27533022 32539026 36710696 43385368 46184424 55066044 59654881 65078052 110132088 119309762 130156104 178964643 238619524 357929286 477239048 715858572 1431717144