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146616700441131 = 32107382933397589
BaseRepresentation
bin100001010101100011011100…
…010110010001001000101011
3201020010102022221110110101100
4201111203130112101020223
5123204132000303104011
61235454440552452443
742611464342045104
oct4125433426211053
9636112287413340
10146616700441131
1142797880122858
121453b3703aa123
1363a6b8461900b
14282c4013433ab
1511e3c84545d56
hex8558dc59122b

146616700441131 has 24 divisors (see below), whose sum is σ = 213760023600240. Its totient is φ = 96830470858176.

The previous prime is 146616700441129. The next prime is 146616700441313. The reversal of 146616700441131 is 131144007616641.

It is a happy number.

146616700441131 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 1 + 6 + 70 + 0 + 441 + 131 = 666.

It is not a de Polignac number, because 146616700441131 - 21 = 146616700441129 is a prime.

It is a super-2 number, since 2×1466167004411312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146616700441331) 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, 368565685 + ... + 368963273.

It is an arithmetic number, because the mean of its divisors is an integer number (8906667650010).

Almost surely, 2146616700441131 is an apocalyptic number.

146616700441131 is a deficient number, since it is larger than the sum of its proper divisors (67143323159109).

146616700441131 is a wasteful number, since it uses less digits than its factorization.

146616700441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780635 (or 780632 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 146616700441131 in words is "one hundred forty-six trillion, six hundred sixteen billion, seven hundred million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 107 321 963 382933 397589 1148799 1192767 3446397 3578301 40973831 42542023 122921493 127626069 368764479 382878207 152249948537 456749845611 1370249536833 16290744493459 48872233480377 146616700441131