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146354289354 = 232713181493643
BaseRepresentation
bin1000100001001101100…
…1010011101011001010
3111222202200102020001100
42020103121103223022
54344213144224404
6151122332202230
713400536635150
oct2102331235312
9458680366040
10146354289354
11570831a9849
1224445909376
1310a55186420
1471255033d0
153c189ddd39
hex2213653aca

146354289354 has 96 divisors (see below), whose sum is σ = 392435132544. Its totient is φ = 38385601920.

The previous prime is 146354289343. The next prime is 146354289359. The reversal of 146354289354 is 453982453641.

It is a happy number.

146354289354 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 5 + 4 + 289 + 354 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146354289354.

It is not an unprimeable number, because it can be changed into a prime (146354289359) 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 47 ways as a sum of consecutive naturals, for example, 49657 + ... + 543299.

It is an arithmetic number, because the mean of its divisors is an integer number (4087865964).

Almost surely, 2146354289354 is an apocalyptic number.

146354289354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146354289354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196217566272).

146354289354 is an abundant number, since it is smaller than the sum of its proper divisors (246080843190).

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

146354289354 is a wasteful number, since it uses less digits than its factorization.

146354289354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493852 (or 493849 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 146354289354 in words is "one hundred forty-six billion, three hundred fifty-four million, two hundred eighty-nine thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 181 182 234 273 362 543 546 819 1086 1267 1629 1638 2353 2534 3258 3801 4706 7059 7602 11403 14118 16471 21177 22806 32942 42354 49413 98826 148239 296478 493643 987286 1480929 2961858 3455501 4442787 6417359 6911002 8885574 10366503 12834718 19252077 20733006 31099509 38504154 44921513 57756231 62199018 89349383 89843026 115512462 134764539 178698766 268048149 269529078 404293617 536096298 625445681 804144447 808587234 1161541979 1250891362 1608288894 1876337043 2323083958 3484625937 3752674086 5629011129 6969251874 8130793853 10453877811 11258022258 16261587706 20907755622 24392381559 48784763118 73177144677 146354289354