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1429488428193 = 33723595573641
BaseRepresentation
bin10100110011010100001…
…001100110010010100001
312001122202111200011021000
4110303110021212102201
5141410043014200233
63012410430022213
7205164025104630
oct24632411462241
95048674604230
101429488428193
11501273a50901
121b1064947969
13a4a52cc4a57
144d28ab29517
15272b6dd6d13
hex14cd42664a1

1429488428193 has 64 divisors (see below), whose sum is σ = 2568334233600. Its totient is φ = 768092181120.

The previous prime is 1429488428141. The next prime is 1429488428219. The reversal of 1429488428193 is 3918248849241.

1429488428193 is a `hidden beast` number, since 1 + 4 + 29 + 488 + 42 + 8 + 1 + 93 = 666.

It is not a de Polignac number, because 1429488428193 - 212 = 1429488424097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1429488428193.

It is not an unprimeable number, because it can be changed into a prime (1429488428293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2530348 + ... + 3043293.

It is an arithmetic number, because the mean of its divisors is an integer number (40130222400).

Almost surely, 21429488428193 is an apocalyptic number.

It is an amenable number.

1429488428193 is a deficient number, since it is larger than the sum of its proper divisors (1138845805407).

1429488428193 is a wasteful number, since it uses less digits than its factorization.

1429488428193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573739 (or 5573733 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1429488428193 in words is "one trillion, four hundred twenty-nine billion, four hundred eighty-eight million, four hundred twenty-eight thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 23 27 59 63 69 161 177 189 207 413 483 531 621 1239 1357 1449 1593 3717 4071 4347 9499 11151 12213 28497 36639 85491 256473 5573641 16720923 39015487 50162769 117046461 128193743 150488307 328844819 351139383 384581229 897356201 986534457 1053418149 1153743687 2301913733 2692068603 2959603371 3461231061 6905741199 7563430837 8076205809 8878810113 20717223597 22690292511 24228617427 52944015859 62151670791 68070877533 158832047577 204212632599 476496142731 1429488428193