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4331112313344 = 2938949876353
BaseRepresentation
bin111111000001101010011…
…010010011001000000000
3120100001100122221000002220
4333001222122103020000
51031430104223011334
613113404024011040
7624625000143405
oct77015232231000
916301318830086
104331112313344
11141a8a5a97423
1259b494900a80
132555645918bb
1410d8ac5122ac
15779dec5c449
hex3f06a693200

4331112313344 has 160 divisors (see below), whose sum is σ = 11672174986560. Its totient is φ = 1426971820032.

The previous prime is 4331112313289. The next prime is 4331112313357. The reversal of 4331112313344 is 4433132111334.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681739672 + ... + 681746024.

It is an arithmetic number, because the mean of its divisors is an integer number (72951093666).

Almost surely, 24331112313344 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 4331112313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836087493280).

4331112313344 is an abundant number, since it is smaller than the sum of its proper divisors (7341062673216).

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

4331112313344 is an equidigital number, since it uses as much as digits as its factorization.

4331112313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11434 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 4331112313344 its reverse (4433132111334), we get a palindrome (8764244424678).

The spelling of 4331112313344 in words is "four trillion, three hundred thirty-one billion, one hundred twelve million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 4987 5696 6353 8544 9974 11392 12706 14961 17088 19059 19948 22784 25412 29922 34176 38118 39896 45568 50824 59844 68352 76236 79792 101648 119688 136704 152472 159584 203296 239376 304944 319168 406592 443843 478752 565417 609888 638336 813184 887686 957504 1130834 1219776 1276672 1331529 1626368 1696251 1775372 1915008 2261668 2439552 2553344 2663058 3252736 3392502 3550744 3830016 4523336 4879104 5326116 6785004 7101488 7660032 9046672 9758208 10652232 13570008 14202976 18093344 21304464 27140016 28405952 31682411 36186688 42608928 54280032 56811904 63364822 72373376 85217856 95047233 108560064 113623808 126729644 144746752 170435712 190094466 217120128 227247616 253459288 289493504 340871424 380188932 434240256 506918576 681742848 760377864 868480512 1013837152 1520755728 2027674304 2819734579 3041511456 4055348608 5639469158 6083022912 8110697216 8459203737 11278938316 12166045824 16221394432 16918407474 22557876632 24332091648 33836814948 45115753264 48664183296 67673629896 90231506528 135347259792 180463013056 270694519584 360926026112 541389039168 721852052224 1082778078336 1443704104448 2165556156672 4331112313344