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146127234030 = 23510347290367
BaseRepresentation
bin1000100000010111011…
…1001010001111101110
3111222011212011121200220
42020011313022033232
54343232032442110
6151044021432210
713362111665241
oct2100567121756
9458155147626
10146127234030
1156a77017818
12243a186b666
1310a1a11856b
1471032bb258
153c03add370
hex2205dca3ee

146127234030 has 32 divisors (see below), whose sum is σ = 354110275584. Its totient is φ = 38588938656.

The previous prime is 146127233939. The next prime is 146127234061. The reversal of 146127234030 is 30432721641.

146127234030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146127233982 and 146127234000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23642094 + ... + 23648273.

It is an arithmetic number, because the mean of its divisors is an integer number (11065946112).

Almost surely, 2146127234030 is an apocalyptic number.

146127234030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146127234030 is an abundant number, since it is smaller than the sum of its proper divisors (207983041554).

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

146127234030 is a wasteful number, since it uses less digits than its factorization.

146127234030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47290480.

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 146127234030 its reverse (30432721641), we get a palindrome (176559955671).

The spelling of 146127234030 in words is "one hundred forty-six billion, one hundred twenty-seven million, two hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 103 206 309 515 618 1030 1545 3090 47290367 94580734 141871101 236451835 283742202 472903670 709355505 1418711010 4870907801 9741815602 14612723403 24354539005 29225446806 48709078010 73063617015 146127234030