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1310444136 = 2333192313883
BaseRepresentation
bin100111000011011…
…1100101001101000
310101022211110102000
41032012330221220
510140433203021
6334011211000
744321406561
oct11606745150
93338743360
101310444136
11612791091
12306a46a60
1317b653a41
14c607d168
157a0a4b26
hex4e1bca68

1310444136 has 128 divisors (see below), whose sum is σ = 3998592000. Its totient is φ = 395803584.

The previous prime is 1310444131. The next prime is 1310444147. The reversal of 1310444136 is 6314440131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1310444131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87451 + ... + 101333.

It is an arithmetic number, because the mean of its divisors is an integer number (31239000).

Almost surely, 21310444136 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 1310444136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999296000).

1310444136 is an abundant number, since it is smaller than the sum of its proper divisors (2688147864).

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

1310444136 is a wasteful number, since it uses less digits than its factorization.

1310444136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1310444136 is about 36200.0571270267. The cubic root of 1310444136 is about 1094.3078230114.

Adding to 1310444136 its reverse (6314440131), we get a palindrome (7624884267).

The spelling of 1310444136 in words is "one billion, three hundred ten million, four hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 513 552 621 684 828 874 1026 1242 1311 1368 1656 1748 2052 2484 2622 3496 3933 4104 4968 5244 7866 10488 11799 13883 15732 23598 27766 31464 41649 47196 55532 83298 94392 111064 124947 166596 249894 263777 319309 333192 374841 499788 527554 638618 749682 791331 957927 999576 1055108 1277236 1499364 1582662 1915854 2110216 2373993 2554472 2873781 2998728 3165324 3831708 4747986 5747562 6066871 6330648 7121979 7663416 8621343 9495972 11495124 12133742 14243958 17242686 18200613 18991944 22990248 24267484 28487916 34485372 36401226 48534968 54601839 56975832 68970744 72802452 109203678 145604904 163805517 218407356 327611034 436814712 655222068 1310444136