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1311382317480 = 2335103307345599
BaseRepresentation
bin10011000101010100011…
…110100010100110101000
311122100220111012002110020
4103011110132202212220
5132441202333124410
62442235110120440
7163513163531424
oct23052436424650
94570814162406
101311382317480
11466177148844
121921a3350120
13968802b1a41
1447685139b84
15241a3333a70
hex131547a29a8

1311382317480 has 128 divisors (see below), whose sum is σ = 3985293312000. Its totient is φ = 345177752832.

The previous prime is 1311382317467. The next prime is 1311382317503. The reversal of 1311382317480 is 847132831131.

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, 3621721 + ... + 3967319.

It is an arithmetic number, because the mean of its divisors is an integer number (31135104000).

Almost surely, 21311382317480 is an apocalyptic number.

1311382317480 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 1311382317480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992646656000).

1311382317480 is an abundant number, since it is smaller than the sum of its proper divisors (2673910994520).

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

1311382317480 is a wasteful number, since it uses less digits than its factorization.

1311382317480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346023 (or 346019 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1311382317480 in words is "one trillion, three hundred eleven billion, three hundred eighty-two million, three hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 307 309 412 515 614 618 824 921 1030 1228 1236 1535 1545 1842 2060 2456 2472 3070 3090 3684 4120 4605 6140 6180 7368 9210 12280 12360 18420 31621 36840 63242 94863 126484 158105 189726 252968 316210 345599 379452 474315 632420 691198 758904 948630 1036797 1264840 1382396 1727995 1897260 2073594 2764792 3455990 3794520 4147188 5183985 6911980 8294376 10367970 13823960 20735940 35596697 41471880 71193394 106098893 106790091 142386788 177983485 212197786 213580182 284773576 318296679 355966970 424395572 427160364 530494465 533950455 636593358 711933940 848791144 854320728 1060988930 1067900910 1273186716 1423867880 1591483395 2121977860 2135801820 2546373432 3182966790 4243955720 4271603640 6365933580 10928185979 12731867160 21856371958 32784557937 43712743916 54640929895 65569115874 87425487832 109281859790 131138231748 163922789685 218563719580 262276463496 327845579370 437127439160 655691158740 1311382317480