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431341334240 = 25519727150497
BaseRepresentation
bin1100100011011011111…
…00100110111011100000
31112020100220211010000212
412101231330212323200
524031341340143430
6530053325433252
743110016563215
oct6215574467340
91466326733025
10431341334240
11156a26a35723
126b71b40b828
13318a188132b
1416c3c80bb0c
15b348179b95
hex646df26ee0

431341334240 has 96 divisors (see below), whose sum is σ = 1028016468864. Its totient is φ = 171023892480.

The previous prime is 431341334213. The next prime is 431341334243. The reversal of 431341334240 is 42433143134.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 431341334197 and 431341334206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431341334243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8516672 + ... + 8567168.

It is an arithmetic number, because the mean of its divisors is an integer number (10708504884).

Almost surely, 2431341334240 is an apocalyptic number.

431341334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431341334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514008234432).

431341334240 is an abundant number, since it is smaller than the sum of its proper divisors (596675134624).

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

431341334240 is a wasteful number, since it uses less digits than its factorization.

431341334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50980 (or 50972 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 431341334240 its reverse (42433143134), we get a palindrome (473774477374).

The spelling of 431341334240 in words is "four hundred thirty-one billion, three hundred forty-one million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 271 394 542 788 985 1084 1355 1576 1970 2168 2710 3152 3940 4336 5420 6304 7880 8672 10840 15760 21680 31520 43360 50497 53387 100994 106774 201988 213548 252485 266935 403976 427096 504970 533870 807952 854192 1009940 1067740 1615904 1708384 2019880 2135480 4039760 4270960 8079520 8541920 9947909 13684687 19895818 27369374 39791636 49739545 54738748 68423435 79583272 99479090 109477496 136846870 159166544 198958180 218954992 273693740 318333088 397916360 437909984 547387480 795832720 1094774960 1591665440 2189549920 2695883339 5391766678 10783533356 13479416695 21567066712 26958833390 43134133424 53917666780 86268266848 107835333560 215670667120 431341334240