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140012000013400 = 23521813899942763
BaseRepresentation
bin11111110101011100010101…
…100001100110110001011000
3200100202000110000101101022221
4133311130111201212301120
5121322424034000412100
61213440342544553424
741330350611516634
oct3765342541466130
9610660400341287
10140012000013400
11406808349a1999
121385331b622874
1360180c887b348
14268088cd0ddc4
15112c077c6101a
hex7f5715866c58

140012000013400 has 96 divisors (see below), whose sum is σ = 328167885754800. Its totient is φ = 55552199846400.

The previous prime is 140012000013343. The next prime is 140012000013409. The reversal of 140012000013400 is 4310000210041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140012000013409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9110419 + ... + 19053181.

Almost surely, 2140012000013400 is an apocalyptic number.

140012000013400 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 140012000013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164083942877400).

140012000013400 is an abundant number, since it is smaller than the sum of its proper divisors (188155885741400).

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

140012000013400 is a wasteful number, since it uses less digits than its factorization.

140012000013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943349 (or 9943340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 140012000013400 its reverse (4310000210041), we get a palindrome (144322000223441).

The spelling of 140012000013400 in words is "one hundred forty trillion, twelve billion, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 389 724 778 905 1448 1556 1810 1945 3112 3620 3890 4525 7240 7780 9050 9725 15560 18100 19450 36200 38900 70409 77800 140818 281636 352045 563272 704090 1408180 1760225 2816360 3520450 7040900 9942763 14081800 19885526 39771052 49713815 79542104 99427630 198855260 248569075 397710520 497138150 994276300 1799640103 1988552600 3599280206 3867734807 7198560412 7735469614 8998200515 14397120824 15470939228 17996401030 19338674035 30941878456 35992802060 38677348070 44991002575 71985604120 77354696140 89982005150 96693370175 154709392280 179964010300 193386740350 359928020600 386773480700 700060000067 773546961400 1400120000134 2800240000268 3500300000335 5600480000536 7000600000670 14001200001340 17501500001675 28002400002680 35003000003350 70006000006700 140012000013400