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145040050152 = 233217118496773
BaseRepresentation
bin1000011100010100001…
…1111000011111101000
3111212101002102221210100
42013011003320133220
54334020223101102
6150344103345400
713323141041034
oct2070503703750
9455332387710
10145040050152
1156569366448
1224139752260
13108a5b041aa
14703cb571c4
153b8d439a1c
hex21c50f87e8

145040050152 has 48 divisors (see below), whose sum is σ = 415923676740. Its totient is φ = 45502760448.

The previous prime is 145040050147. The next prime is 145040050157. The reversal of 145040050152 is 251050040541.

145040050152 is a `hidden beast` number, since 1 + 4 + 504 + 0 + 0 + 5 + 0 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (145040050147) and next prime (145040050157).

It can be written as a sum of positive squares in 2 ways, for example, as 138254574276 + 6785475876 = 371826^2 + 82374^2 .

It is a super-2 number, since 2×1450400501522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145040050157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59247163 + ... + 59249610.

Almost surely, 2145040050152 is an apocalyptic number.

145040050152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145040050152 is an abundant number, since it is smaller than the sum of its proper divisors (270883626588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145040050152 is a wasteful number, since it uses less digits than its factorization.

145040050152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118496802 (or 118496795 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 145040050152 its reverse (251050040541), we get a palindrome (396090090693).

The spelling of 145040050152 in words is "one hundred forty-five billion, forty million, fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 118496773 236993546 355490319 473987092 710980638 947974184 1066470957 1421961276 2014445141 2132941914 2843922552 4028890282 4265883828 6043335423 8057780564 8531767656 12086670846 16115561128 18130006269 24173341692 36260012538 48346683384 72520025076 145040050152