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146506733140 = 22529325001149
BaseRepresentation
bin1000100001110001111…
…0110101011001010100
3112000011022021011121111
42020130132311121110
54400021210430030
6151145415424404
713404400453525
oct2103436653124
9460138234544
10146506733140
1157151260049
1224488985104
1310a7a92c751
14713b86684c
153c270a262a
hex221c7b5654

146506733140 has 24 divisors (see below), whose sum is σ = 308714200200. Its totient is φ = 58402681728.

The previous prime is 146506733137. The next prime is 146506733173. The reversal of 146506733140 is 41337605641.

It can be written as a sum of positive squares in 4 ways, for example, as 51047979844 + 95458753296 = 225938^2 + 308964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146506733093 and 146506733102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12494715 + ... + 12506434.

It is an arithmetic number, because the mean of its divisors is an integer number (12863091675).

Almost surely, 2146506733140 is an apocalyptic number.

146506733140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146506733140 is an abundant number, since it is smaller than the sum of its proper divisors (162207467060).

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

146506733140 is a wasteful number, since it uses less digits than its factorization.

146506733140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001451 (or 25001449 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 146506733140 in words is "one hundred forty-six billion, five hundred six million, seven hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 25001149 50002298 100004596 125005745 250011490 500022980 7325336657 14650673314 29301346628 36626683285 73253366570 146506733140