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146007820040 = 23512841284261
BaseRepresentation
bin1000011111111010111…
…1101000011100001000
3111221212112110202111112
42013332233220130020
54343011000220130
6151024114145452
713356131664425
oct2077657503410
9457775422445
10146007820040
1156a15676275
1224369882288
13109cb4682b4
1470d14b4d4c
153be83a1495
hex21febe8708

146007820040 has 32 divisors (see below), whose sum is σ = 328544334360. Its totient is φ = 58398374400.

The previous prime is 146007820027. The next prime is 146007820043. The reversal of 146007820040 is 40028700641.

It can be written as a sum of positive squares in 4 ways, for example, as 108355522276 + 37652297764 = 329174^2 + 194042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146007819979 and 146007820006.

It is not an unprimeable number, because it can be changed into a prime (146007820043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371510 + ... + 655770.

Almost surely, 2146007820040 is an apocalyptic number.

146007820040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146007820040 is an abundant number, since it is smaller than the sum of its proper divisors (182536514320).

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

146007820040 is a wasteful number, since it uses less digits than its factorization.

146007820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297113 (or 297109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 146007820040 in words is "one hundred forty-six billion, seven million, eight hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 12841 25682 51364 64205 102728 128410 256820 284261 513640 568522 1137044 1421305 2274088 2842610 5685220 11370440 3650195501 7300391002 14600782004 18250977505 29201564008 36501955010 73003910020 146007820040