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13323440032 = 257414093547
BaseRepresentation
bin11000110100010001…
…11000111110100000
31021101112101212202221
430122020320332200
5204241300040112
610042023320424
7651111241330
oct143210707640
937345355687
1013323440032
115717809771
1226b9bb0114
1313443b8936
149056c10c0
1552ea40e07
hex31a238fa0

13323440032 has 96 divisors (see below), whose sum is σ = 30792666240. Its totient is φ = 5555589120.

The previous prime is 13323439999. The next prime is 13323440063. The reversal of 13323440032 is 23004432331.

It is a super-2 number, since 2×133234400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13323439979 and 13323440006.

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, 3754483 + ... + 3758029.

It is an arithmetic number, because the mean of its divisors is an integer number (320756940).

Almost surely, 213323440032 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 13323440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396333120).

13323440032 is an abundant number, since it is smaller than the sum of its proper divisors (17469226208).

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

13323440032 is a wasteful number, since it uses less digits than its factorization.

13323440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 13323440032 its reverse (23004432331), we get a palindrome (36327872363).

The spelling of 13323440032 in words is "thirteen billion, three hundred twenty-three million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 409 574 656 818 1148 1312 1636 2296 2863 3272 3547 4592 5726 6544 7094 9184 11452 13088 14188 16769 22904 24829 28376 33538 45808 49658 56752 67076 91616 99316 113504 117383 134152 145427 198632 234766 268304 290854 397264 469532 536608 581708 794528 939064 1017989 1163416 1450723 1878128 2035978 2326832 2901446 3756256 4071956 4653664 5802892 8143912 10155061 11605784 16287824 20310122 23211568 32575648 40620244 46423136 59479643 81240488 118959286 162480976 237918572 324961952 416357501 475837144 832715002 951674288 1665430004 1903348576 3330860008 6661720016 13323440032