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146303014004 = 22721999137339
BaseRepresentation
bin1000100001000001010…
…1101101010001110100
3111222122002221011111022
42020100111231101310
54344112032422004
6151113301200312
713366345046300
oct2102025552164
9458562834438
10146303014004
1157057267924
1224430700098
1310a47672694
14711c796d00
153c142612be
hex221056d474

146303014004 has 36 divisors (see below), whose sum is σ = 297854010720. Its totient is φ = 62696476080.

The previous prime is 146303013979. The next prime is 146303014009. The reversal of 146303014004 is 400410303641.

It is a super-2 number, since 2×1463030140042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146303014009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3899567 + ... + 3936905.

It is an arithmetic number, because the mean of its divisors is an integer number (8273722520).

Almost surely, 2146303014004 is an apocalyptic number.

146303014004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146303014004 is an abundant number, since it is smaller than the sum of its proper divisors (151550996716).

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

146303014004 is a wasteful number, since it uses less digits than its factorization.

146303014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57348 (or 57339 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 146303014004 its reverse (400410303641), we get a palindrome (546713317645).

The spelling of 146303014004 in words is "one hundred forty-six billion, three hundred three million, fourteen thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 19991 37339 39982 74678 79964 139937 149356 261373 279874 522746 559748 979559 1045492 1829611 1959118 3659222 3918236 7318444 746443949 1492887898 2985775796 5225107643 10450215286 20900430572 36575753501 73151507002 146303014004