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146341361430 = 232511161991303
BaseRepresentation
bin1000100001001010011…
…1111111011100010110
3111222201210002102021100
42020102213333130112
54344201342031210
6151121151130530
713400322022335
oct2102247773426
9458653072240
10146341361430
1157076979910
1224441513a46
1310a525aac74
1471238d9d1c
153c177d85c0
hex22129ff716

146341361430 has 96 divisors (see below), whose sum is σ = 415338243840. Its totient is φ = 35454392640.

The previous prime is 146341361407. The next prime is 146341361431. The reversal of 146341361430 is 34163143641.

146341361430 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 1 + 3 + 614 + 30 = 666.

146341361430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146341361431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557159 + ... + 1648461.

It is an arithmetic number, because the mean of its divisors is an integer number (4326440040).

Almost surely, 2146341361430 is an apocalyptic number.

146341361430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146341361430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207669121920).

146341361430 is an abundant number, since it is smaller than the sum of its proper divisors (268996882410).

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

146341361430 is a wasteful number, since it uses less digits than its factorization.

146341361430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92946 (or 92943 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 146341361430 in words is "one hundred forty-six billion, three hundred forty-one million, three hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1619 3238 4857 8095 9714 14571 16190 17809 24285 29142 35618 48570 53427 72855 89045 91303 106854 145710 160281 178090 182606 267135 273909 320562 456515 534270 547818 801405 821727 913030 1004333 1369545 1602810 1643454 2008666 2739090 3012999 4108635 5021665 6025998 8217270 9038997 10043330 15064995 18077994 30129990 45194985 90389970 147819557 295639114 443458671 739097785 886917342 1330376013 1478195570 1626015127 2217293355 2660752026 3252030254 4434586710 4878045381 6651880065 8130075635 9756090762 13303760130 14634136143 16260151270 24390226905 29268272286 48780453810 73170680715 146341361430