Search a number
-
+
31151430544 = 24131925730671
BaseRepresentation
bin11101000000110001…
…010001101110010000
32222101222220122010211
4131000301101232100
51002244231234134
622151043133504
72151650535133
oct350061215620
988358818124
1031151430544
1112236196923
126054674294
132c25ab2350
14171733421a
15c24c6d764
hex740c51b90

31151430544 has 80 divisors (see below), whose sum is σ = 68688103680. Its totient is φ = 13567426560.

The previous prime is 31151430523. The next prime is 31151430551. The reversal of 31151430544 is 44503415113.

It is a super-2 number, since 2×311514305442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000329 + ... + 1030999.

It is an arithmetic number, because the mean of its divisors is an integer number (858601296).

Almost surely, 231151430544 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 31151430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34344051840).

31151430544 is an abundant number, since it is smaller than the sum of its proper divisors (37536673136).

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

31151430544 is a wasteful number, since it uses less digits than its factorization.

31151430544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 31151430544 its reverse (44503415113), we get a palindrome (75654845657).

The spelling of 31151430544 in words is "thirty-one billion, one hundred fifty-one million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 257 304 494 514 988 1028 1976 2056 3341 3952 4112 4883 6682 9766 13364 19532 26728 30671 39064 53456 61342 63479 78128 122684 126958 245368 253916 398723 490736 507832 582749 797446 1015664 1165498 1594892 2330996 3189784 4661992 6379568 7575737 7882447 9323984 15151474 15764894 30302948 31529788 60605896 63059576 102471811 121211792 126119152 149766493 204943622 299532986 409887244 599065972 819774488 1198131944 1639548976 1946964409 2396263888 3893928818 7787857636 15575715272 31151430544