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146101014 = 232232943283
BaseRepresentation
bin10001011010101…
…01001100010110
3101011220200220200
420231111030112
5244400213024
622255241330
73422560323
oct1055251426
9334820820
10146101014
1175519944
1240b19246
1324365307
1415591b4a
15cc5e2c9
hex8b55316

146101014 has 96 divisors (see below), whose sum is σ = 350887680. Its totient is φ = 43775424.

The previous prime is 146101003. The next prime is 146101027. The reversal of 146101014 is 410101641.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516117 + ... + 516399.

It is an arithmetic number, because the mean of its divisors is an integer number (3655080).

Almost surely, 2146101014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175443840).

146101014 is an abundant number, since it is smaller than the sum of its proper divisors (204786666).

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

146101014 is a wasteful number, since it uses less digits than its factorization.

146101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 146101014 is about 12087.2252398969. The cubic root of 146101014 is about 526.6851538847.

Adding to 146101014 its reverse (410101641), we get a palindrome (556202655).

The spelling of 146101014 in words is "one hundred forty-six million, one hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 29 43 46 58 69 86 87 129 138 174 207 258 261 283 387 414 522 566 667 774 849 989 1247 1334 1698 1978 2001 2494 2547 2967 3741 4002 5094 5934 6003 6509 7482 8207 8901 11223 12006 12169 13018 16414 17802 19527 22446 24338 24621 28681 36507 39054 49242 57362 58581 73014 73863 86043 109521 117162 147726 172086 188761 219042 258129 279887 352901 377522 516258 559774 566283 705802 839661 1058703 1132566 1679322 1698849 2117406 2518983 3176109 3397698 5037966 6352218 8116723 16233446 24350169 48700338 73050507 146101014