Search a number
-
+
31090940500144 = 2472189891267633
BaseRepresentation
bin1110001000110111011000…
…11101101101100010110000
311002002021011002201020202011
413010123230131231202300
513033343221232001034
6150042551512132304
76356150326550560
oct704335435554260
9132067132636664
1031090940500144
1199a7659411788
1235a1771097094
131446b2b333b05
14796b49590da0
1538db30248864
hex1c46ec76d8b0

31090940500144 has 40 divisors (see below), whose sum is σ = 68844594075680. Its totient is φ = 13324617427968.

The previous prime is 31090940500129. The next prime is 31090940500159. The reversal of 31090940500144 is 44100504909013.

It is an interprime number because it is at equal distance from previous prime (31090940500129) and next prime (31090940500159).

It is a junction number, because it is equal to n+sod(n) for n = 31090940500097 and 31090940500106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23892952 + ... + 25160584.

It is an arithmetic number, because the mean of its divisors is an integer number (1721114851892).

Almost surely, 231090940500144 is an apocalyptic number.

It is an amenable number.

31090940500144 is an abundant number, since it is smaller than the sum of its proper divisors (37753653575536).

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

31090940500144 is a wasteful number, since it uses less digits than its factorization.

31090940500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486637 (or 1486631 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 31090940500144 in words is "thirty-one trillion, ninety billion, nine hundred forty million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 218989 437978 875956 1267633 1532923 1751912 2535266 3065846 3503824 5070532 6131692 8873431 10141064 12263384 17746862 20282128 24526768 35493724 70987448 141974896 277597683037 555195366074 1110390732148 1943183781259 2220781464296 3886367562518 4441562928592 7772735125036 15545470250072 31090940500144