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1431431221401 = 331721492235521
BaseRepresentation
bin10100110101000111111…
…100110001000010011001
312001211202220101021112000
4110311013330301002121
5141423032343041101
63013331310511213
7205263125425026
oct24650774610231
95054686337460
101431431221401
11502080675125
121b1507505509
13a4ca265c62c
144d3d2b7254d
152737c749486
hex14d47f31099

1431431221401 has 96 divisors (see below), whose sum is σ = 2278421376000. Its totient is φ = 887963627520.

The previous prime is 1431431221361. The next prime is 1431431221453. The reversal of 1431431221401 is 1041221341341.

It is a happy number.

1431431221401 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 31 + 221 + 401 = 666.

It is not a de Polignac number, because 1431431221401 - 29 = 1431431220889 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1431431221201) 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, 259267521 + ... + 259273041.

It is an arithmetic number, because the mean of its divisors is an integer number (23733556000).

Almost surely, 21431431221401 is an apocalyptic number.

It is an amenable number.

1431431221401 is a deficient number, since it is larger than the sum of its proper divisors (846990154599).

1431431221401 is a wasteful number, since it uses less digits than its factorization.

1431431221401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1431431221401 its reverse (1041221341341), we get a palindrome (2472652562742).

The spelling of 1431431221401 in words is "one trillion, four hundred thirty-one billion, four hundred thirty-one million, two hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 17 27 51 149 153 223 289 447 459 669 867 1341 2007 2533 2601 3791 4023 5521 6021 7599 7803 11373 16563 22797 33227 34119 43061 49689 64447 68391 93857 99681 102357 129183 149067 193341 281571 299043 387549 564859 580023 822629 844713 897129 1162647 1231183 1595569 1694577 1740069 2467887 2534139 3693549 4786707 5083731 7403661 9602603 11080647 13984693 14360121 15251193 20930111 22210983 28807809 33241941 41954079 43080363 62790333 86423427 125862237 183446267 188370999 237739781 259270281 355811887 377586711 550338801 565112997 713219343 1067435661 1651016403 2139658029 3118586539 3202306983 4953049209 6418974087 9355759617 9606920949 28067278851 53015971163 84201836553 159047913489 477143740467 1431431221401