Search a number
-
+
146404615136 = 2513463760117
BaseRepresentation
bin1000100001011001100…
…1010010001111100000
3111222220012010001001012
42020112121102033200
54344314040141021
6151131331000052
713402020460433
oct2102631221740
9458805101035
10146404615136
11570a96522aa
122445a739028
1310a62726bb0
14712c08381a
153c1d13035b
hex22166523e0

146404615136 has 48 divisors (see below), whose sum is σ = 311076771264. Its totient is φ = 67425329664.

The previous prime is 146404615109. The next prime is 146404615139. The reversal of 146404615136 is 631516404641.

It is a happy number.

It is a super-2 number, since 2×1464046151362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146404615093 and 146404615102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146404615139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187451 + ... + 572666.

It is an arithmetic number, because the mean of its divisors is an integer number (6480766068).

Almost surely, 2146404615136 is an apocalyptic number.

146404615136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146404615136 is an abundant number, since it is smaller than the sum of its proper divisors (164672156128).

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

146404615136 is a wasteful number, since it uses less digits than its factorization.

146404615136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760603 (or 760595 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 146404615136 in words is "one hundred forty-six billion, four hundred four million, six hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 463 926 1852 3704 6019 7408 12038 14816 24076 48152 96304 192608 760117 1520234 3040468 6080936 9881521 12161872 19763042 24323744 39526084 79052168 158104336 316208672 351934171 703868342 1407736684 2815473368 4575144223 5630946736 9150288446 11261893472 18300576892 36601153784 73202307568 146404615136