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144169740 = 2233511131867
BaseRepresentation
bin10001001011111…
…01101100001100
3101001021120201000
420211331230030
5243401412430
622150020300
73400264641
oct1045755414
9331246630
10144169740
117441a950
1240347690
1323b3a250
141520bdc8
15c9cbe60
hex897db0c

144169740 has 192 divisors, whose sum is σ = 527224320. Its totient is φ = 32244480.

The previous prime is 144169721. The next prime is 144169769. The reversal of 144169740 is 47961441.

144169740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 144169695 and 144169704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76287 + ... + 78153.

It is an arithmetic number, because the mean of its divisors is an integer number (2745960).

Almost surely, 2144169740 is an apocalyptic number.

144169740 is a gapful number since it is divisible by the number (10) 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 144169740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263612160).

144169740 is an abundant number, since it is smaller than the sum of its proper divisors (383054580).

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

144169740 is a wasteful number, since it uses less digits than its factorization.

144169740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 144169740 is about 12007.0704170501. The cubic root of 144169740 is about 524.3541445694.

The spelling of 144169740 in words is "one hundred forty-four million, one hundred sixty-nine thousand, seven hundred forty".