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1312150440 = 2335174991289
BaseRepresentation
bin100111000110101…
…1101001110101000
310101110001011000110
41032031131032220
510141402303230
6334111534320
744342044326
oct11615351650
93343034013
101312150440
11613747057
1230752a3a0
1317bb005a3
14c63a4d16
157a2e04b0
hex4e35d3a8

1312150440 has 128 divisors (see below), whose sum is σ = 4179600000. Its totient is φ = 328409088.

The previous prime is 1312150387. The next prime is 1312150481. The reversal of 1312150440 is 440512131.

1312150440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017316 + ... + 1018604.

It is an arithmetic number, because the mean of its divisors is an integer number (32653125).

Almost surely, 21312150440 is an apocalyptic number.

1312150440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089800000).

1312150440 is an abundant number, since it is smaller than the sum of its proper divisors (2867449560).

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

1312150440 is a wasteful number, since it uses less digits than its factorization.

1312150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1312150440 is about 36223.6171578709. The cubic root of 1312150440 is about 1094.7825760424.

Adding to 1312150440 its reverse (440512131), we get a palindrome (1752662571).

The spelling of 1312150440 in words is "one billion, three hundred twelve million, one hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 499 510 680 998 1020 1289 1497 1996 2040 2495 2578 2994 3867 3992 4990 5156 5988 6445 7485 7734 8483 9980 10312 11976 12890 14970 15468 16966 19335 19960 21913 25449 25780 29940 30936 33932 38670 42415 43826 50898 51560 59880 65739 67864 77340 84830 87652 101796 109565 127245 131478 154680 169660 175304 203592 219130 254490 262956 328695 339320 438260 508980 525912 643211 657390 876520 1017960 1286422 1314780 1929633 2572844 2629560 3216055 3859266 5145688 6432110 7718532 9648165 10934587 12864220 15437064 19296330 21869174 25728440 32803761 38592660 43738348 54672935 65607522 77185320 87476696 109345870 131215044 164018805 218691740 262430088 328037610 437383480 656075220 1312150440