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15146153040 = 2435211329867
BaseRepresentation
bin11100001101100011…
…11111010001010000
31110002120011021222010
432012301333101100
5222004403344130
610542534342520
71044223114404
oct160661772120
943076137863
1015146153040
116472676a57
122b284baa40
131574bcbc45
14a397cb104
155d9a840b0
hex386c7f450

15146153040 has 80 divisors (see below), whose sum is σ = 46976868288. Its totient is φ = 4036927488.

The previous prime is 15146153027. The next prime is 15146153101. The reversal of 15146153040 is 4035164151.

It is a happy number.

15146153040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×151461530402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15146152989 and 15146153007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 492187 + ... + 522053.

Almost surely, 215146153040 is an apocalyptic number.

15146153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15146153040 is an abundant number, since it is smaller than the sum of its proper divisors (31830715248).

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

15146153040 is a wasteful number, since it uses less digits than its factorization.

15146153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31996 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 15146153040 in words is "fifteen billion, one hundred forty-six million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2113 4226 6339 8452 10565 12678 16904 21130 25356 29867 31695 33808 42260 50712 59734 63390 84520 89601 101424 119468 126780 149335 169040 179202 238936 253560 298670 358404 448005 477872 507120 597340 716808 896010 1194680 1433616 1792020 2389360 3584040 7168080 63108971 126217942 189326913 252435884 315544855 378653826 504871768 631089710 757307652 946634565 1009743536 1262179420 1514615304 1893269130 2524358840 3029230608 3786538260 5048717680 7573076520 15146153040