Search a number
-
+
31406658744 = 23331163258977
BaseRepresentation
bin11101001111111110…
…111001010010111000
310000001210011120102010
4131033332321102320
51003310101034434
622232241405520
72161200123516
oct351776712270
9100053146363
1031406658744
111235727061a
1261060398a0
132c66935656
14173d1b14b6
15c3c3869e9
hex74ffb94b8

31406658744 has 64 divisors (see below), whose sum is σ = 81546992640. Its totient is φ = 10068986880.

The previous prime is 31406658737. The next prime is 31406658749. The reversal of 31406658744 is 44785660413.

It is a junction number, because it is equal to n+sod(n) for n = 31406658693 and 31406658702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406658749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8217 + ... + 250760.

It is an arithmetic number, because the mean of its divisors is an integer number (1274171760).

Almost surely, 231406658744 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 31406658744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40773496320).

31406658744 is an abundant number, since it is smaller than the sum of its proper divisors (50140333896).

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

31406658744 is a wasteful number, since it uses less digits than its factorization.

31406658744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259180 (or 259176 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 31406658744 in words is "thirty-one billion, four hundred six million, six hundred fifty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 163 186 248 326 372 489 652 744 978 1304 1956 3912 5053 10106 15159 20212 30318 40424 60636 121272 258977 517954 776931 1035908 1553862 2071816 3107724 6215448 8028287 16056574 24084861 32113148 42213251 48169722 64226296 84426502 96339444 126639753 168853004 192678888 253279506 337706008 506559012 1013118024 1308610781 2617221562 3925832343 5234443124 7851664686 10468886248 15703329372 31406658744