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4131302243432 = 2371341421132869
BaseRepresentation
bin111100000111100100110…
…011010111110001101000
3112121221121120000202201012
4330013210303113301220
51020141401333242212
612441521040443052
7604322343443420
oct74074463276150
915557546022635
104131302243432
111353091460541
12568810919488
1323c7707123c0
14103d55751480
15726e8303922
hex3c1e4cd7c68

4131302243432 has 128 divisors (see below), whose sum is σ = 9768921926400. Its totient is φ = 1594071705600.

The previous prime is 4131302243399. The next prime is 4131302243447. The reversal of 4131302243432 is 2343422031314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125673494 + ... + 125706362.

It is an arithmetic number, because the mean of its divisors is an integer number (76319702550).

Almost surely, 24131302243432 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 4131302243432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884460963200).

4131302243432 is an abundant number, since it is smaller than the sum of its proper divisors (5637619682968).

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

4131302243432 is a wasteful number, since it uses less digits than its factorization.

4131302243432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37147 (or 37143 counting only the distinct ones).

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

Adding to 4131302243432 its reverse (2343422031314), we get a palindrome (6474724274746).

It can be divided in two parts, 4131302 and 243432, that added together give a palindrome (4374734).

The spelling of 4131302243432 in words is "four trillion, one hundred thirty-one billion, three hundred two million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 533 574 728 1066 1148 2132 2296 3731 4211 4264 7462 8422 14924 16844 29477 29848 32869 33688 54743 58954 65738 109486 117908 131476 172651 218972 230083 235816 262952 345302 383201 427297 437944 460166 690604 766402 854594 920332 1208557 1347629 1381208 1532804 1709188 1840664 2244463 2417114 2695258 2991079 3065608 3418376 4488926 4834228 5390516 5982158 8977852 9433403 9668456 10781032 11964316 15711241 17519177 17955704 18866806 23928632 31422482 35038354 37733612 62844964 70076708 75467224 122634239 125689928 138411359 140153416 245268478 276822718 490536956 553645436 968879513 981073912 1107290872 1799347667 1937759026 3598695334 3875518052 5674865719 7197390668 7751036104 11349731438 12595433669 14394781336 22699462876 25190867338 39724060033 45398925752 50381734676 73773254347 79448120066 100763469352 147546508694 158896240132 295093017388 317792480264 516412780429 590186034776 1032825560858 2065651121716 4131302243432