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146241465405 = 35714956316603
BaseRepresentation
bin1000100000110010101…
…0111010110000111101
3111222110211010011200120
42020030222322300331
54344000303343110
6151103222045153
713364666642310
oct2101452726075
9458424104616
10146241465405
1157025549512
1224413b797b9
1310a379a28a9
147114534977
153c0db54870
hex220cabac3d

146241465405 has 64 divisors (see below), whose sum is σ = 269702092800. Its totient is φ = 66282621696.

The previous prime is 146241465353. The next prime is 146241465407. The reversal of 146241465405 is 504564142641.

It is a happy number.

It is not a de Polignac number, because 146241465405 - 212 = 146241461309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146241465407) 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, 8799834 + ... + 8816436.

It is an arithmetic number, because the mean of its divisors is an integer number (4214095200).

Almost surely, 2146241465405 is an apocalyptic number.

146241465405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146241465405 is a deficient number, since it is larger than the sum of its proper divisors (123460627395).

146241465405 is a wasteful number, since it uses less digits than its factorization.

146241465405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 146241465405 in words is "one hundred forty-six billion, two hundred forty-one million, four hundred sixty-five thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 105 149 447 563 745 1043 1689 2235 2815 3129 3941 5215 8445 11823 15645 16603 19705 49809 59115 83015 83887 116221 249045 251661 348663 419435 581105 587209 1258305 1743315 1761627 2473847 2936045 7421541 8808135 9347489 12369235 17316929 28042467 37107705 46737445 51950787 65432423 86584645 140212335 196297269 259753935 327162115 981486345 1392775861 4178327583 6963879305 9749431027 20891637915 29248293081 48747155135 146241465405