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144422145432 = 233241101691701
BaseRepresentation
bin1000011010000000111…
…0110000110110011000
3111210210000202010212100
42012200032300312120
54331234032123212
6150202511443400
713301625660405
oct2064016606630
9453700663770
10144422145432
1156281599494
1223ba6826560
1310807aa9ab6
146dc0a6d2ac
153b54081bdc
hex21a03b0d98

144422145432 has 192 divisors, whose sum is σ = 405814237920. Its totient is φ = 46368000000.

The previous prime is 144422145421. The next prime is 144422145437. The reversal of 144422145432 is 234541224441.

144422145432 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 214 + 5 + 432 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144422145437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206022682 + ... + 206023382.

Almost surely, 2144422145432 is an apocalyptic number.

144422145432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144422145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202907118960).

144422145432 is an abundant number, since it is smaller than the sum of its proper divisors (261392092488).

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

144422145432 is a wasteful number, since it uses less digits than its factorization.

144422145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1539 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 144422145432 its reverse (234541224441), we get a palindrome (378963369873).

The spelling of 144422145432 in words is "one hundred forty-four billion, four hundred twenty-two million, one hundred forty-five thousand, four hundred thirty-two".