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144690000 = 2435471353
BaseRepresentation
bin10001001111111…
…00101101010000
3101002021000100220
420213330231100
5244020040000
622205113040
73404562510
oct1047745520
9332230326
10144690000
1174745814
1240558780
1323c8ccb0
1415305840
15ca811a0
hex89fcb50

144690000 has 400 divisors, whose sum is σ = 585712512. Its totient is φ = 29952000.

The previous prime is 144689933. The next prime is 144690037. The reversal of 144690000 is 96441.

144690000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1446900002 = 41870392200000000, which contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2729974 + ... + 2730026.

Almost surely, 2144690000 is an apocalyptic number.

144690000 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 144690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292856256).

144690000 is an abundant number, since it is smaller than the sum of its proper divisors (441022512).

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

144690000 is a wasteful number, since it uses less digits than its factorization.

144690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 144690000 is about 12028.7156421623. The cubic root of 144690000 is about 524.9841265042.

The spelling of 144690000 in words is "one hundred forty-four million, six hundred ninety thousand".