Search a number
-
+
31314422000 = 245325760923
BaseRepresentation
bin11101001010011111…
…000010100011110000
32222211100121110101102
4131022133002203300
51003112443001000
622215144423532
72156000123651
oct351237024360
988740543342
1031314422000
111230a1a1804
12609b177ba8
132c507ac5b4
141730c41528
15c342173d5
hex74a7c28f0

31314422000 has 80 divisors (see below), whose sum is σ = 76014143712. Its totient is φ = 12476825600.

The previous prime is 31314421997. The next prime is 31314422123. The reversal of 31314422000 is 22441313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 483539 + ... + 544461.

Almost surely, 231314422000 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 31314422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38007071856).

31314422000 is an abundant number, since it is smaller than the sum of its proper divisors (44699721712).

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

31314422000 is a wasteful number, since it uses less digits than its factorization.

31314422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61203 (or 61187 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31314422000 its reverse (22441313), we get a palindrome (31336863313).

The spelling of 31314422000 in words is "thirty-one billion, three hundred fourteen million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 1000 1028 1285 2000 2056 2570 4112 5140 6425 10280 12850 20560 25700 32125 51400 60923 64250 102800 121846 128500 243692 257000 304615 487384 514000 609230 974768 1218460 1523075 2436920 3046150 4873840 6092300 7615375 12184600 15230750 15657211 24369200 30461500 31314422 60923000 62628844 78286055 121846000 125257688 156572110 250515376 313144220 391430275 626288440 782860550 1252576880 1565721100 1957151375 3131442200 3914302750 6262884400 7828605500 15657211000 31314422000