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123430002144 = 2536911860679
BaseRepresentation
bin111001011110100000…
…0000101110111100000
3102210121001022202212220
41302331000011313200
54010241040032034
6132411501151040
711626465464441
oct1627500056740
9383531282786
10123430002144
114838a022539
121bb0855b480
13b8409b6137
145d8cac32c8
153326187749
hex1cbd005de0

123430002144 has 48 divisors (see below), whose sum is σ = 324472821120. Its totient is φ = 41083770240.

The previous prime is 123430002127. The next prime is 123430002161. The reversal of 123430002144 is 441200034321.

It is an interprime number because it is at equal distance from previous prime (123430002127) and next prime (123430002161).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864004 + ... + 996675.

It is an arithmetic number, because the mean of its divisors is an integer number (6759850440).

Almost surely, 2123430002144 is an apocalyptic number.

It is an amenable number.

123430002144 is an abundant number, since it is smaller than the sum of its proper divisors (201042818976).

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

123430002144 is a wasteful number, since it uses less digits than its factorization.

123430002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861383 (or 1861375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123430002144 its reverse (441200034321), we get a palindrome (564630036465).

The spelling of 123430002144 in words is "one hundred twenty-three billion, four hundred thirty million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 691 1382 2073 2764 4146 5528 8292 11056 16584 22112 33168 66336 1860679 3721358 5582037 7442716 11164074 14885432 22328148 29770864 44656296 59541728 89312592 178625184 1285729189 2571458378 3857187567 5142916756 7714375134 10285833512 15428750268 20571667024 30857500536 41143334048 61715001072 123430002144