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14001201430040 = 23511171871818373
BaseRepresentation
bin1100101110111110100010…
…1000110011111000011000
31211120111112210121220221102
43023233220220303320120
53313343430031230130
645440021345530532
72643360552343046
oct313575050637030
954514483556842
1014001201430040
114508970218880
1216a163a043a48
137a73ccb292b6
14365939c51396
1519430b61c645
hexcbbe8a33e18

14001201430040 has 64 divisors (see below), whose sum is σ = 36388149190560. Its totient is φ = 4791855032320.

The previous prime is 14001201430031. The next prime is 14001201430043. The reversal of 14001201430040 is 4003410210041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14001201429994 and 14001201430021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001201430043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935901707 + ... + 935916666.

Almost surely, 214001201430040 is an apocalyptic number.

14001201430040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001201430040 is an abundant number, since it is smaller than the sum of its proper divisors (22386947760520).

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

14001201430040 is a wasteful number, since it uses less digits than its factorization.

14001201430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871818412 (or 1871818408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14001201430040 its reverse (4003410210041), we get a palindrome (18004611640081).

The spelling of 14001201430040 in words is "fourteen trillion, one billion, two hundred one million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 1871818373 3743636746 7487273492 9359091865 14974546984 18718183730 20590002103 31820912341 37436367460 41180004206 63641824682 74872734920 82360008412 102950010515 127283649364 159104561705 164720016824 205900021030 254567298728 318209123410 350030035751 411800042060 636418246820 700060071502 823600084120 1272836493640 1400120143004 1750150178755 2800240286008 3500300357510 7000600715020 14001201430040