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146942414416 = 24721371368077
BaseRepresentation
bin1000100011011001110…
…0110100111001010000
3112001021200002001222001
42020312130310321100
54401414224230131
6151300541523344
713421240625400
oct2106634647120
9461250061861
10146942414416
1157355186916
122458a873554
1310b19c84c15
14717d678800
153c50463261
hex2236734e50

146942414416 has 60 divisors (see below), whose sum is σ = 333600347988. Its totient is φ = 62515600896.

The previous prime is 146942414413. The next prime is 146942414419. The reversal of 146942414416 is 614414249641.

It is an interprime number because it is at equal distance from previous prime (146942414413) and next prime (146942414419).

It can be written as a sum of positive squares in 2 ways, for example, as 103053840400 + 43888574016 = 321020^2 + 209496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146942414413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576631 + ... + 791446.

Almost surely, 2146942414416 is an apocalyptic number.

146942414416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146942414416 is an abundant number, since it is smaller than the sum of its proper divisors (186657933572).

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

146942414416 is a wasteful number, since it uses less digits than its factorization.

146942414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368236 (or 1368223 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 146942414416 in words is "one hundred forty-six billion, nine hundred forty-two million, four hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 137 196 274 392 548 784 959 1096 1918 2192 3836 6713 7672 13426 15344 26852 53704 107408 1368077 2736154 5472308 9576539 10944616 19153078 21889232 38306156 67035773 76612312 134071546 153224624 187426549 268143092 374853098 536286184 749706196 1072572368 1311985843 1499412392 2623971686 2998824784 5247943372 9183900901 10495886744 18367801802 20991773488 36735603604 73471207208 146942414416