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1400223034431 = 3213211327729411
BaseRepresentation
bin10100011000000011110…
…010111110110000111111
311221212012221200010012100
4110120003302332300333
5140420124044100211
62551130435040143
7203106555262134
oct24300362766077
94855187603170
101400223034431
1149a916443371
121a7457a40053
13a206ab97800
144bab20a658b
1526652a19156
hex14603cbec3f

1400223034431 has 72 divisors (see below), whose sum is σ = 2217525622416. Its totient is φ = 850938117120.

The previous prime is 1400223034393. The next prime is 1400223034493. The reversal of 1400223034431 is 1344303220041.

1400223034431 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 223 + 0 + 3 + 4 + 431 = 666.

It is not a de Polignac number, because 1400223034431 - 26 = 1400223034367 is a prime.

It is a super-2 number, since 2×14002230344312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400223034395 and 1400223034404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400223034631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47594116 + ... + 47623526.

It is an arithmetic number, because the mean of its divisors is an integer number (30798966978).

Almost surely, 21400223034431 is an apocalyptic number.

1400223034431 is a deficient number, since it is larger than the sum of its proper divisors (817302587985).

1400223034431 is a wasteful number, since it uses less digits than its factorization.

1400223034431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29833 (or 29817 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1400223034431 its reverse (1344303220041), we get a palindrome (2744526254472).

The spelling of 1400223034431 in words is "one trillion, four hundred billion, two hundred twenty-three million, thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 113 117 169 277 339 507 831 1017 1469 1521 2493 3601 4407 10803 13221 19097 29411 31301 32409 46813 57291 88233 93903 140439 171873 264699 281709 382343 406913 421317 1147029 1220739 3323443 3441087 3662217 4970459 5289869 8146847 9970329 14911377 15869607 24440541 29910987 43204759 44734131 47608821 73321623 105909011 129614277 317727033 388842831 561661867 920593711 953181099 1376817143 1684985601 2761781133 4130451429 5054956803 8285343399 11967718243 12391354287 35903154729 107709464187 155580337159 466741011477 1400223034431