Search a number
-
+
31324004013144 = 23343281910767193
BaseRepresentation
bin1110001111101001100000…
…01000011101010001011000
311002220112201200211102102010
413013310300020131101120
513101203030011410034
6150342014312105520
76412041006664323
oct707646010352130
9132815650742363
1031324004013144
119a87487717637
12361a9756952a0
131462ac160955b
147a41388d77ba
15394c212343e9
hex1c7d3021d458

31324004013144 has 64 divisors (see below), whose sum is σ = 80159605891200. Its totient is φ = 10194894210816.

The previous prime is 31324004013143. The next prime is 31324004013167. The reversal of 31324004013144 is 44131040042313.

It is a super-2 number, since 2×313240040131442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31324004013143) 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, 2474389 + ... + 8292804.

It is an arithmetic number, because the mean of its divisors is an integer number (1252493842050).

Almost surely, 231324004013144 is an apocalyptic number.

It is an amenable number.

31324004013144 is an abundant number, since it is smaller than the sum of its proper divisors (48835601878056).

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

31324004013144 is a wasteful number, since it uses less digits than its factorization.

31324004013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10770064 (or 10770060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31324004013144 its reverse (44131040042313), we get a palindrome (75455044055457).

The spelling of 31324004013144 in words is "thirty-one trillion, three hundred twenty-four billion, four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2819 5638 8457 11276 16914 22552 33828 67656 121217 242434 363651 484868 727302 969736 1454604 2909208 10767193 21534386 32301579 43068772 64603158 86137544 129206316 258412632 462989299 925978598 1388967897 1851957196 2777935794 3703914392 5555871588 11111743176 30352717067 60705434134 91058151201 121410868268 182116302402 242821736536 364232604804 728465209608 1305166833881 2610333667762 3915500501643 5220667335524 7831001003286 10441334671048 15662002006572 31324004013144