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153140587029 = 3241601690541
BaseRepresentation
bin1000111010011111100…
…0111110101000010101
3112122021122000212100200
42032213320332220111
510002112442241104
6154203554131113
714030652340443
oct2164770765025
9478248025320
10153140587029
1159a45961721
122581a580a99
1311597118291
1475aa911b93
153eb4693b39
hex23a7e3ea15

153140587029 has 24 divisors (see below), whose sum is σ = 226975631064. Its totient is φ = 99437760000.

The previous prime is 153140587027. The next prime is 153140587031. The reversal of 153140587029 is 920785041351.

153140587029 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 40 + 587 + 0 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (153140587027) and next prime (153140587031).

It can be written as a sum of positive squares in 4 ways, for example, as 14106312900 + 139034274129 = 118770^2 + 372873^2 .

It is not a de Polignac number, because 153140587029 - 21 = 153140587027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153140587027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123502 + ... + 567039.

It is an arithmetic number, because the mean of its divisors is an integer number (9457317961).

Almost surely, 2153140587029 is an apocalyptic number.

It is an amenable number.

153140587029 is a deficient number, since it is larger than the sum of its proper divisors (73835044035).

153140587029 is a wasteful number, since it uses less digits than its factorization.

153140587029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691189 (or 691186 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 153140587029 in words is "one hundred fifty-three billion, one hundred forty million, five hundred eighty-seven thousand, twenty-nine".

Divisors: 1 3 9 41 123 369 601 1803 5409 24641 73923 221769 690541 2071623 6214869 28312181 84936543 254809629 415015141 1245045423 3735136269 17015620781 51046862343 153140587029