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1344500034724 = 2271143843112041
BaseRepresentation
bin10011100100001010011…
…100100110110010100100
311202112101112000102212101
4103210022130212302210
5134012014002102344
62505353233501444
7166064651506060
oct23441234466244
94675345012771
101344500034724
114792212449a0
121986a6411884
1399a2a566232
1449107670aa0
1524e90a059d4
hex1390a726ca4

1344500034724 has 96 divisors (see below), whose sum is σ = 3002279841792. Its totient is φ = 511545888000.

The previous prime is 1344500034721. The next prime is 1344500034743. The reversal of 1344500034724 is 4274300054431.

It is not an unprimeable number, because it can be changed into a prime (1344500034721) 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, 111654144 + ... + 111666184.

It is an arithmetic number, because the mean of its divisors is an integer number (31273748352).

Almost surely, 21344500034724 is an apocalyptic number.

1344500034724 is a gapful number since it is divisible by the number (14) 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 1344500034724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501139920896).

1344500034724 is an abundant number, since it is smaller than the sum of its proper divisors (1657779807068).

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

1344500034724 is a wasteful number, since it uses less digits than its factorization.

1344500034724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 1344500034724 in words is "one trillion, three hundred forty-four billion, five hundred million, thirty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 946 1204 1892 3311 6622 8431 12041 13244 16862 24082 33724 48164 59017 84287 92741 118034 132451 168574 185482 236068 264902 337148 362533 370964 517763 529804 649187 725066 927157 1035526 1298374 1450132 1854314 2071052 2537731 2596748 3624341 3708628 3987863 5075462 5695393 7248682 7975726 10150924 11390786 14497364 15951452 22781572 27915041 39867751 55830082 79735502 101517671 111660164 159471004 203035342 406070684 710623697 1116694381 1421247394 2233388762 2842494788 4365259853 4466777524 7816860667 8730519706 15633721334 17461039412 30556818971 31267442668 48017858383 61113637942 96035716766 122227275884 192071433532 336125008681 672250017362 1344500034724