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146423313406326 = 231138348765918049
BaseRepresentation
bin100001010010101111010101…
…100101010001100101110110
3201012102221011110122012201210
4201102233111211101211312
5123142444421213000301
61235225535213302250
742561510130265025
oct4122572545214566
9635387143565653
10146423313406326
1142722862196250
121450999b494986
1363918753808c8
142822cd76308bc
1511ddc16938ad6
hex852bd5951976

146423313406326 has 128 divisors (see below), whose sum is σ = 321465729024000. Its totient is φ = 44094518415360.

The previous prime is 146423313406289. The next prime is 146423313406369. The reversal of 146423313406326 is 623604313324641.

146423313406326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8112535350 + ... + 8112553398.

It is an arithmetic number, because the mean of its divisors is an integer number (2511451008000).

Almost surely, 2146423313406326 is an apocalyptic number.

146423313406326 is an abundant number, since it is smaller than the sum of its proper divisors (175042415617674).

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

146423313406326 is a wasteful number, since it uses less digits than its factorization.

146423313406326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594.

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 146423313406326 in words is "one hundred forty-six trillion, four hundred twenty-three billion, three hundred thirteen million, four hundred six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 383 487 659 766 974 1149 1318 1461 1977 2298 2922 3954 4213 5357 7249 8426 10714 12639 14498 16071 18049 21747 25278 32142 36098 43494 54147 108294 186521 198539 252397 320933 373042 397078 504794 559563 595617 641866 757191 962799 1119126 1191234 1514382 1925598 2051731 2776367 3530263 4103462 5552734 6155193 6912767 7060526 8329101 8789863 10590789 11894291 12310386 13825534 16658202 17579726 20738301 21181578 23788582 26369589 35682873 41476602 52739178 71365746 76040437 96688493 122917339 130837201 152080874 193376986 228121311 245834678 261674402 290065479 368752017 392511603 456242622 580130958 737504034 785023206 1352090729 2704181458 3366517529 4056272187 4555513453 5792519717 6733035058 8112544374 9111026906 10099552587 11585039434 13666540359 17377559151 20199105174 27333080718 34755118302 37031692819 50110647983 63717716887 74063385638 100221295966 111095078457 127435433774 150331943949 191153150661 222190156914 300663887898 382306301322 2218535051611 4437070103222 6655605154833 13311210309666 24403885567721 48807771135442 73211656703163 146423313406326