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146584131434 = 2131937101271293
BaseRepresentation
bin1000100010000100011…
…0000101011101101010
3112000100200220102002222
42020201012011131222
54400201014201214
6151201222354042
713406330362526
oct2104106053552
9460320812088
10146584131434
1157190a14584
12244aa88b922
1310a9098b860
147147c52d86
153c2dc9038e
hex222118576a

146584131434 has 128 divisors (see below), whose sum is σ = 260363013120. Its totient is φ = 61305984000.

The previous prime is 146584131431. The next prime is 146584131497. The reversal of 146584131434 is 434131485641.

It is not an unprimeable number, because it can be changed into a prime (146584131431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500286992 + ... + 500287284.

It is an arithmetic number, because the mean of its divisors is an integer number (2034086040).

Almost surely, 2146584131434 is an apocalyptic number.

146584131434 is a deficient number, since it is larger than the sum of its proper divisors (113778881686).

146584131434 is a wasteful number, since it uses less digits than its factorization.

146584131434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its digits is 552960, while the sum is 44.

The spelling of 146584131434 in words is "one hundred forty-six billion, five hundred eighty-four million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 13 19 26 37 38 74 101 202 247 271 293 481 494 542 586 703 962 1313 1406 1919 2626 3523 3737 3809 3838 5149 5567 7046 7474 7618 9139 10027 10298 10841 11134 18278 20054 21682 24947 27371 29593 48581 49894 54742 59186 66937 71003 72371 79403 97162 130351 133874 140933 142006 144742 158806 190513 205979 260702 281866 355823 381026 384709 411958 520049 562267 711646 769418 923039 1012727 1032239 1040098 1094941 1124534 1508657 1846078 2025454 2064478 2189882 2476669 2677727 2937911 3017314 4953338 5355454 5875822 6760637 7309471 8019703 13165451 13521274 14234233 14618942 16039406 19241813 19612541 20803879 26330902 28468466 38192843 38483626 39225082 41607758 55820309 76385686 104256139 111640618 152374357 208512278 250143569 270450427 296729011 304748714 500287138 540900854 593458022 725664017 1451328034 1980866641 3857477143 3961733282 5637851209 7714954286 11275702418 73292065717 146584131434