Search a number
-
+
31642151120 = 2452811407569
BaseRepresentation
bin11101011110000001…
…001110100011010000
310000200012021211012222
4131132001032203100
51004300342313440
622311453040212
72200056563306
oct353601164320
9100605254188
1031642151120
1112468195518
126170a86068
132ca3668858
141762592276
15c52da22b5
hex75e04e8d0

31642151120 has 40 divisors (see below), whose sum is σ = 73829861640. Its totient is φ = 12611809280.

The previous prime is 31642151117. The next prime is 31642151137. The reversal of 31642151120 is 2115124613.

It can be written as a sum of positive squares in 4 ways, for example, as 80496784 + 31561654336 = 8972^2 + 177656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 31642151120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681305 + ... + 726264.

It is an arithmetic number, because the mean of its divisors is an integer number (1845746541).

Almost surely, 231642151120 is an apocalyptic number.

It is an amenable number.

31642151120 is an abundant number, since it is smaller than the sum of its proper divisors (42187710520).

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

31642151120 is a wasteful number, since it uses less digits than its factorization.

31642151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407863 (or 1407857 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 31642151120 its reverse (2115124613), we get a palindrome (33757275733).

The spelling of 31642151120 in words is "thirty-one billion, six hundred forty-two million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 22480 1407569 2815138 5630276 7037845 11260552 14075690 22521104 28151380 56302760 112605520 395526889 791053778 1582107556 1977634445 3164215112 3955268890 6328430224 7910537780 15821075560 31642151120