Search a number
-
+
31264254240 = 2535431514741
BaseRepresentation
bin11101000111011111…
…101010100100100000
32222200212012200011020
4131013133222210200
51003012122113430
622210153245440
72154520530162
oct350737524440
988625180136
1031264254240
1112293946a4a
126086403880
132c43295a2b
141728302932
15c2eb07b10
hex7477ea920

31264254240 has 96 divisors (see below), whose sum is σ = 100772755776. Its totient is φ = 8143242240.

The previous prime is 31264254221. The next prime is 31264254251. The reversal of 31264254240 is 4245246213.

It is a tau number, because it is divible by the number of its divisors (96).

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, 736731 + ... + 778010.

It is an arithmetic number, because the mean of its divisors is an integer number (1049716206).

Almost surely, 231264254240 is an apocalyptic number.

31264254240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31264254240 is an abundant number, since it is smaller than the sum of its proper divisors (69508501536).

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

31264254240 is a wasteful number, since it uses less digits than its factorization.

31264254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514802 (or 1514794 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 31264254240 in words is "thirty-one billion, two hundred sixty-four million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 1514741 3029482 4544223 6058964 7573705 9088446 12117928 15147410 18176892 22721115 24235856 30294820 36353784 45442230 48471712 60589640 65133863 72707568 90884460 121179280 130267726 145415136 181768920 195401589 242358560 260535452 325669315 363537840 390803178 521070904 651338630 727075680 781606356 977007945 1042141808 1302677260 1563212712 1954015890 2084283616 2605354520 3126425424 3908031780 5210709040 6252850848 7816063560 10421418080 15632127120 31264254240