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2420014302321 = 371124141955439
BaseRepresentation
bin100011001101110100000…
…101111100010001110001
322120100110221212010022020
4203031310011330101301
5304122142130133241
65051423401102053
7336561132111510
oct43156405742161
98510427763266
102420014302321
1185335aa90800
12331021a87929
1314728b517245
14851b4bbc677
1542e3ba19b66
hex2337417c471

2420014302321 has 96 divisors (see below), whose sum is σ = 4162204569600. Its totient is φ = 1223538835200.

The previous prime is 2420014302317. The next prime is 2420014302331. The reversal of 2420014302321 is 1232034100242.

It is a happy number.

It is not a de Polignac number, because 2420014302321 - 22 = 2420014302317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2420014302291 and 2420014302300.

It is not an unprimeable number, because it can be changed into a prime (2420014302331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43624120 + ... + 43679558.

It is an arithmetic number, because the mean of its divisors is an integer number (43356297600).

Almost surely, 22420014302321 is an apocalyptic number.

2420014302321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2420014302321 is a deficient number, since it is larger than the sum of its proper divisors (1742190267279).

2420014302321 is a wasteful number, since it uses less digits than its factorization.

2420014302321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55931 (or 55920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2420014302321 its reverse (1232034100242), we get a palindrome (3652048402563).

The spelling of 2420014302321 in words is "two trillion, four hundred twenty billion, fourteen million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 41 77 121 123 231 287 363 419 451 847 861 1257 1353 2541 2933 3157 4609 4961 8799 9471 13827 14883 17179 32263 34727 50699 51537 55439 96789 104181 120253 152097 166317 188969 354893 360759 388073 566907 609829 1064679 1164219 1322783 1829487 2078659 2272999 3968349 4268803 6235977 6708119 6818997 12806409 14550613 15910993 20124357 23228941 25002989 43651839 46956833 47732979 69686823 75008967 140870499 162602587 175020923 255518351 275032879 487807761 525062769 766555053 825098637 952386581 1788628457 1925230153 2810701861 2857159743 5365885371 5775690459 6666706067 8432105583 10476252391 19674913027 20000118201 31428757173 59024739081 73333766737 115238776301 220001300211 345716328903 806671434107 2420014302321