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146136441231 = 321110713795567
BaseRepresentation
bin1000100000011001101…
…0010010000110001111
3111222012111111101121100
42020012122102012033
54343241412104411
6151044551034143
713362253153344
oct2100632220617
9458174441540
10146136441231
1156a81236280
12243a496b953
1310a1bcc0301
1471045d67cb
153c0480b456
hex220669218f

146136441231 has 24 divisors (see below), whose sum is σ = 232427729664. Its totient is φ = 87739799760.

The previous prime is 146136441211. The next prime is 146136441247. The reversal of 146136441231 is 132144631641.

146136441231 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 3 + 644 + 1 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 146136441231 - 219 = 146135916943 is a prime.

It is a super-2 number, since 2×1461364412312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146136441211) 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, 6887191 + ... + 6908376.

It is an arithmetic number, because the mean of its divisors is an integer number (9684488736).

Almost surely, 2146136441231 is an apocalyptic number.

146136441231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146136441231 is a deficient number, since it is larger than the sum of its proper divisors (86291288433).

146136441231 is a wasteful number, since it uses less digits than its factorization.

146136441231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795691 (or 13795688 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 146136441231 in words is "one hundred forty-six billion, one hundred thirty-six million, four hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 107 321 963 1177 3531 10593 13795567 41386701 124160103 151751237 455253711 1365761133 1476125669 4428377007 13285131021 16237382359 48712147077 146136441231