Search a number
-
+
31474420160 = 2651712745557
BaseRepresentation
bin11101010100000001…
…011000100111000000
310000020111200012121012
4131110001120213000
51003424422421120
622243102020052
72162652104621
oct352401304700
9100214605535
1031474420160
1112391542797
126124877628
132c7799c271
1417481ada48
15c432be1c5
hex7540589c0

31474420160 has 112 divisors (see below), whose sum is σ = 79983811584. Its totient is φ = 11755634688.

The previous prime is 31474420147. The next prime is 31474420169. The reversal of 31474420160 is 6102447413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31474420169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668102 + ... + 713658.

Almost surely, 231474420160 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 31474420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39991905792).

31474420160 is an abundant number, since it is smaller than the sum of its proper divisors (48509391424).

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

31474420160 is a wasteful number, since it uses less digits than its factorization.

31474420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45718 (or 45708 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 31474420160 its reverse (6102447413), we get a palindrome (37576867573).

The spelling of 31474420160 in words is "thirty-one billion, four hundred seventy-four million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 127 136 160 170 254 272 320 340 508 544 635 680 1016 1088 1270 1360 2032 2159 2540 2720 4064 4318 5080 5440 8128 8636 10160 10795 17272 20320 21590 34544 40640 43180 45557 69088 86360 91114 138176 172720 182228 227785 345440 364456 455570 690880 728912 774469 911140 1457824 1548938 1822280 2915648 3097876 3644560 3872345 5785739 6195752 7289120 7744690 11571478 12391504 14578240 15489380 23142956 24783008 28928695 30978760 46285912 49566016 57857390 61957520 92571824 98357563 115714780 123915040 185143648 196715126 231429560 247830080 370287296 393430252 462859120 491787815 786860504 925718240 983575630 1573721008 1851436480 1967151260 3147442016 3934302520 6294884032 7868605040 15737210080 31474420160