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2144300414140 = 2255323936723063
BaseRepresentation
bin11111001101000010010…
…000111011010010111100
321120222210222112101220001
4133031002100323102330
5240113011401223030
64321024503404044
7310630522533643
oct37150220732274
97528728471801
102144300414140
117574357557a5
122a76b5a53624
1312728c05c201
1475adb2b235a
153aba1515cca
hex1f34243b4bc

2144300414140 has 96 divisors (see below), whose sum is σ = 4619944304640. Its totient is φ = 835696033536.

The previous prime is 2144300414117. The next prime is 2144300414153. The reversal of 2144300414140 is 414140034412.

It is a junction number, because it is equal to n+sod(n) for n = 2144300414099 and 2144300414108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92964249 + ... + 92987311.

It is an arithmetic number, because the mean of its divisors is an integer number (48124419840).

Almost surely, 22144300414140 is an apocalyptic number.

2144300414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144300414140 is an abundant number, since it is smaller than the sum of its proper divisors (2475643890500).

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

2144300414140 is a wasteful number, since it uses less digits than its factorization.

2144300414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23731 (or 23729 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2144300414140 its reverse (414140034412), we get a palindrome (2558440448552).

The spelling of 2144300414140 in words is "two trillion, one hundred forty-four billion, three hundred million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 239 265 367 478 530 734 956 1060 1195 1468 1835 2390 3670 4780 7340 12667 19451 23063 25334 38902 46126 50668 63335 77804 87713 92252 97255 115315 126670 175426 194510 230630 253340 350852 389020 438565 461260 877130 1222339 1754260 2444678 4648789 4889356 5512057 6111695 8464121 9297578 11024114 12223390 16928242 18595156 22048228 23243945 24446780 27560285 33856484 42320605 46487890 55120570 84641210 92975780 110241140 169282420 292139021 448598413 584278042 897196826 1168556084 1460695105 1794393652 2022924919 2242992065 2921390210 4045849838 4485984130 5842780420 8091699676 8971968260 10114624595 20229249190 40458498380 107215020707 214430041414 428860082828 536075103535 1072150207070 2144300414140