Search a number
-
+
146325156408 = 23322637727353
BaseRepresentation
bin1000100001000110101…
…0001011001000111000
3111222200122121010011100
42020101222023020320
54344133220001113
6151115411531400
713400034210354
oct2102152131070
9458618533140
10146325156408
1157068810832
1224437bb9b60
1310a4c125cb2
1471216bc464
153c16186d73
hex2211a8b238

146325156408 has 48 divisors (see below), whose sum is σ = 397804183920. Its totient is φ = 48589589376.

The previous prime is 146325156403. The next prime is 146325156451. The reversal of 146325156408 is 804651523641.

146325156408 is a `hidden beast` number, since 1 + 4 + 6 + 32 + 51 + 564 + 0 + 8 = 666.

It is a super-3 number, since 3×1463251564083 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146325156401) 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, 3844741 + ... + 3882612.

It is an arithmetic number, because the mean of its divisors is an integer number (8287587165).

Almost surely, 2146325156408 is an apocalyptic number.

146325156408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146325156408 is an abundant number, since it is smaller than the sum of its proper divisors (251479027512).

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

146325156408 is a wasteful number, since it uses less digits than its factorization.

146325156408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727628 (or 7727621 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 146325156408 in words is "one hundred forty-six billion, three hundred twenty-five million, one hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 1052 1578 2104 2367 3156 4734 6312 9468 18936 7727353 15454706 23182059 30909412 46364118 61818824 69546177 92728236 139092354 185456472 278184708 556369416 2032293839 4064587678 6096881517 8129175356 12193763034 16258350712 18290644551 24387526068 36581289102 48775052136 73162578204 146325156408