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431300053104 = 24337265991331
BaseRepresentation
bin1100100011010110111…
…11001000100001110000
31112020021001010210221220
412101223133020201300
524031300303144404
6530045252545040
743106005651104
oct6215337104160
91466231123856
10431300053104
11156a056aa588
126b709622180
133189615961b
1416c37143904
15b3447234d9
hex646b7c8870

431300053104 has 80 divisors (see below), whose sum is σ = 1144747981440. Its totient is φ = 139826960640.

The previous prime is 431300053073. The next prime is 431300053117. The reversal of 431300053104 is 401350003134.

It is a happy number.

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

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, 4676719 + ... + 4768049.

It is an arithmetic number, because the mean of its divisors is an integer number (14309349768).

Almost surely, 2431300053104 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 431300053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572373990720).

431300053104 is an abundant number, since it is smaller than the sum of its proper divisors (713447928336).

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

431300053104 is a wasteful number, since it uses less digits than its factorization.

431300053104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94038 (or 94032 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 431300053104 its reverse (401350003134), we get a palindrome (832650056238).

The spelling of 431300053104 in words is "four hundred thirty-one billion, three hundred million, fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2659 5318 7977 10636 15954 21272 31908 42544 63816 91331 98383 127632 182662 196766 273993 295149 365324 393532 547986 590298 730648 787064 1095972 1180596 1461296 1574128 2191944 2361192 3379247 4383888 4722384 6758494 10137741 13516988 20275482 27033976 40550964 54067952 81101928 162203856 242849129 485698258 728547387 971396516 1457094774 1942793032 2914189548 3885586064 5828379096 8985417773 11656758192 17970835546 26956253319 35941671092 53912506638 71883342184 107825013276 143766684368 215650026552 431300053104