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420134431120 = 24519276404231
BaseRepresentation
bin1100001110100011111…
…01101010100110010000
31111011102220001110001221
412013101331222212100
523340413403243440
6521001310534424
742232215512245
oct6072175524620
91434386043057
10420134431120
111521a5a2a518
1269512207414
1330806b23601
141649827d5cc
15adde36ad4a
hex61d1f6a990

420134431120 has 40 divisors (see below), whose sum is σ = 1028223743040. Its totient is φ = 159208836480.

The previous prime is 420134431097. The next prime is 420134431147. The reversal of 420134431120 is 21134431024.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 138200596 + ... + 138203635.

It is an arithmetic number, because the mean of its divisors is an integer number (25705593576).

Almost surely, 2420134431120 is an apocalyptic number.

420134431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420134431120 is an abundant number, since it is smaller than the sum of its proper divisors (608089311920).

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

420134431120 is a wasteful number, since it uses less digits than its factorization.

420134431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276404263 (or 276404257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 420134431120 its reverse (21134431024), we get a palindrome (441268862144).

The spelling of 420134431120 in words is "four hundred twenty billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 276404231 552808462 1105616924 1382021155 2211233848 2764042310 4422467696 5251680389 5528084620 10503360778 11056169240 21006721556 22112338480 26258401945 42013443112 52516803890 84026886224 105033607780 210067215560 420134431120