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144835038 = 232311132297
BaseRepresentation
bin10001010001000…
…00000111011110
3101002112101022200
420220200013132
5244034210123
622212152330
73406035405
oct1050400736
9332471280
10144835038
1174834787
12406086a6
132401100a
141534263c
15caae143
hex8a201de

144835038 has 48 divisors (see below), whose sum is σ = 326941056. Its totient is φ = 46287360.

The previous prime is 144835037. The next prime is 144835049. The reversal of 144835038 is 830538441.

144835038 is a `hidden beast` number, since 144 + 8 + 3 + 503 + 8 = 666.

It is a super-2 number, since 2×1448350382 = 41954376464922888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144834993 and 144835011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144835037) 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 23 ways as a sum of consecutive naturals, for example, 61906 + ... + 64202.

It is an arithmetic number, because the mean of its divisors is an integer number (6811272).

Almost surely, 2144835038 is an apocalyptic number.

144835038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144835038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163470528).

144835038 is an abundant number, since it is smaller than the sum of its proper divisors (182106018).

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

144835038 is a wasteful number, since it uses less digits than its factorization.

144835038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144835038 is about 12034.7429552941. The cubic root of 144835038 is about 525.1594835203.

The spelling of 144835038 in words is "one hundred forty-four million, eight hundred thirty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 113 186 226 279 339 558 678 1017 2034 2297 3503 4594 6891 7006 10509 13782 20673 21018 31527 41346 63054 71207 142414 213621 259561 427242 519122 640863 778683 1281726 1557366 2336049 4672098 8046391 16092782 24139173 48278346 72417519 144835038