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144356940 = 2232572131259
BaseRepresentation
bin10001001101010…
…11011001001100
3101001122002111100
420212223121030
5243423410230
622154023100
73402004500
oct1046533114
9331562440
10144356940
1174538562
1240417a90
1323ba4510
141525a300
15ca17660
hex89ab64c

144356940 has 216 divisors, whose sum is σ = 548992080. Its totient is φ = 30433536.

The previous prime is 144356939. The next prime is 144356951. The reversal of 144356940 is 49653441.

144356940 is a `hidden beast` number, since 14 + 43 + 569 + 40 = 666.

It is a super-2 number, since 2×1443569402 = 41677852252327200, which contains 22 as substring.

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 = 144356895 and 144356904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114031 + ... + 115289.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2144356940 is an apocalyptic number.

144356940 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 144356940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

144356940 is an abundant number, since it is smaller than the sum of its proper divisors (404635140).

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

144356940 is a wasteful number, since it uses less digits than its factorization.

144356940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 144356940 is about 12014.8632951024. The cubic root of 144356940 is about 524.5809990188.

The spelling of 144356940 in words is "one hundred forty-four million, three hundred fifty-six thousand, nine hundred forty".