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1342614718752 = 2535327436701
BaseRepresentation
bin10011100010011010000…
…100101100100100100000
311202100112010110110112220
4103202122010230210200
5133444133332000002
62504442204551040
7166000146545046
oct23423204544440
94670463413486
101342614718752
1147844400911a
1219825ab52480
13997b9aa4258
1448da910a396
1524dd02487bc
hex1389a12c920

1342614718752 has 144 divisors (see below), whose sum is σ = 3597487121088. Its totient is φ = 438437708800.

The previous prime is 1342614718729. The next prime is 1342614718787. The reversal of 1342614718752 is 2578174162431.

It is a super-2 number, since 2×13426147187522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1342614718695 and 1342614718704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200357002 + ... + 200363702.

It is an arithmetic number, because the mean of its divisors is an integer number (24982549452).

Almost surely, 21342614718752 is an apocalyptic number.

1342614718752 is a gapful number since it is divisible by the number (12) 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 1342614718752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798743560544).

1342614718752 is an abundant number, since it is smaller than the sum of its proper divisors (2254872402336).

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

1342614718752 is an equidigital number, since it uses as much as digits as its factorization.

1342614718752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7502 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 1342614718752 in words is "one trillion, three hundred forty-two billion, six hundred fourteen million, seven hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 743 848 1272 1486 1696 2229 2544 2809 2972 4458 5088 5618 5944 6701 8427 8916 11236 11888 13402 16854 17832 20103 22472 23776 26804 33708 35664 39379 40206 44944 53608 67416 71328 78758 80412 89888 107216 118137 134832 157516 160824 214432 236274 269664 315032 321648 355153 472548 630064 643296 710306 945096 1065459 1260128 1420612 1890192 2087087 2130918 2841224 3780384 4174174 4261836 4978843 5682448 6261261 8348348 8523672 9957686 11364896 12522522 14936529 16696696 17047344 18823109 19915372 25045044 29873058 33393392 34094688 37646218 39830744 50090088 56469327 59746116 66786784 75292436 79661488 100180176 112938654 119492232 150584872 159322976 200360352 225877308 238984464 263878679 301169744 451754616 477968928 527757358 602339488 791636037 903509232 1055514716 1583272074 1807018464 2111029432 3166544148 4222058864 6333088296 8444117728 12666176592 13985569987 25332353184 27971139974 41956709961 55942279948 83913419922 111884559896 167826839844 223769119792 335653679688 447538239584 671307359376 1342614718752