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13400341704 = 23331392291949
BaseRepresentation
bin11000111101011100…
…01111110011001000
31021120220002220001000
430132232033303020
5204420441413304
610053411455000
7653034011421
oct143656176310
937526086030
1013400341704
115757164072
12271b8b7460
131357302999
149119bc648
15536681939
hex31eb8fcc8

13400341704 has 128 divisors (see below), whose sum is σ = 37674000000. Its totient is φ = 4413014784.

The previous prime is 13400341667. The next prime is 13400341727. The reversal of 13400341704 is 40714300431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874522 + ... + 6876470.

It is an arithmetic number, because the mean of its divisors is an integer number (294328125).

Almost surely, 213400341704 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 13400341704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837000000).

13400341704 is an abundant number, since it is smaller than the sum of its proper divisors (24273658296).

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

13400341704 is a wasteful number, since it uses less digits than its factorization.

13400341704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13400341704 in words is "thirteen billion, four hundred million, three hundred forty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 229 278 417 458 556 687 834 916 1112 1251 1374 1668 1832 1949 2061 2502 2748 3336 3753 3898 4122 5004 5496 5847 6183 7506 7796 8244 10008 11694 12366 15012 15592 16488 17541 23388 24732 30024 31831 35082 46776 49464 52623 63662 70164 95493 105246 127324 140328 190986 210492 254648 270911 286479 381972 420984 446321 541822 572958 763944 812733 859437 892642 1083644 1145916 1338963 1625466 1718874 1785284 2167288 2291832 2438199 2677926 3250932 3437748 3570568 4016889 4876398 5355852 6501864 6875496 7314597 8033778 9752796 10711704 12050667 14629194 16067556 19505592 24101334 29258388 32135112 48202668 58516776 62038619 96405336 124077238 186115857 248154476 372231714 496308952 558347571 744463428 1116695142 1488926856 1675042713 2233390284 3350085426 4466780568 6700170852 13400341704