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146247103040 = 265574379579
BaseRepresentation
bin1000100000110100000…
…0011011001001000000
3111222111012201121001212
42020031000123021000
54344003224244130
6151103542545252
713365065602463
oct2101500331100
9458435647055
10146247103040
115702874a115
1224415a38228
1310a38bc797c
1471151a12da
153c0e3b9e95
hex220d01b240

146247103040 has 56 divisors (see below), whose sum is σ = 348315930240. Its totient is φ = 58487920128.

The previous prime is 146247103027. The next prime is 146247103043. The reversal of 146247103040 is 40301742641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 146247102988 and 146247103006.

It is not an unprimeable number, because it can be changed into a prime (146247103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1797971 + ... + 1877549.

Almost surely, 2146247103040 is an apocalyptic number.

146247103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146247103040 is an abundant number, since it is smaller than the sum of its proper divisors (202068827200).

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

146247103040 is an equidigital number, since it uses as much as digits as its factorization.

146247103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85339 (or 85329 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 146247103040 its reverse (40301742641), we get a palindrome (186548845681).

The spelling of 146247103040 in words is "one hundred forty-six billion, two hundred forty-seven million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 5743 11486 22972 28715 45944 57430 79579 91888 114860 159158 183776 229720 318316 367552 397895 459440 636632 795790 918880 1273264 1591580 1837760 2546528 3183160 5093056 6366320 12732640 25465280 457022197 914044394 1828088788 2285110985 3656177576 4570221970 7312355152 9140443940 14624710304 18280887880 29249420608 36561775760 73123551520 146247103040