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146423295252 = 223213536918543
BaseRepresentation
bin1000100001011110000…
…0100010110100010100
3111222221111021002100100
42020113200202310110
54344333330422002
6151133235214100
713402335321423
oct2102740426424
9458844232310
10146423295252
1157109150a13
1224464a47330
1310a66567610
1471307472ba
153c1eac011c
hex2217822d14

146423295252 has 144 divisors (see below), whose sum is σ = 406752772608. Its totient is φ = 44134122240.

The previous prime is 146423295197. The next prime is 146423295299. The reversal of 146423295252 is 252592324641.

146423295252 is a `hidden beast` number, since 14 + 64 + 2 + 329 + 5 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146423295198 and 146423295207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17135293 + ... + 17143835.

It is an arithmetic number, because the mean of its divisors is an integer number (2824672032).

Almost surely, 2146423295252 is an apocalyptic number.

146423295252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146423295252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203376386304).

146423295252 is an abundant number, since it is smaller than the sum of its proper divisors (260329477356).

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

146423295252 is a wasteful number, since it uses less digits than its factorization.

146423295252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9305 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 146423295252 in words is "one hundred forty-six billion, four hundred twenty-three million, two hundred ninety-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 691 954 1378 1382 1908 2067 2073 2756 2764 4134 4146 6201 6219 8268 8292 8543 8983 12402 12438 17086 17966 24804 24876 25629 26949 34172 35932 36623 51258 53898 73246 76887 80847 102516 107796 109869 111059 146492 153774 161694 219738 222118 307548 323388 329607 333177 439476 444236 452779 476099 659214 666354 905558 952198 999531 1318428 1332708 1358337 1428297 1811116 1904396 1999062 2716674 2856594 3998124 4075011 4284891 5433348 5713188 5886127 5903213 8150022 8569782 11772254 11806426 16300044 17139564 17658381 17709639 23544508 23612852 35316762 35419278 52975143 53128917 70633524 70838556 76741769 105950286 106257834 153483538 211900572 212515668 230225307 306967076 312870289 460450614 625740578 690675921 920901228 938610867 1251481156 1381351842 1877221734 2762703684 2815832601 3754443468 4067313757 5631665202 8134627514 11263330404 12201941271 16269255028 24403882542 36605823813 48807765084 73211647626 146423295252