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144612700 = 225261151157
BaseRepresentation
bin10001001111010…
…01110101011100
3101002010002022221
420213221311130
5244010101300
622203315124
73404121241
oct1047516534
9332102287
10144612700
11746a2731
124051baa4
1323c63a5b
14152c55c8
15ca6831a
hex89e9d5c

144612700 has 72 divisors (see below), whose sum is σ = 323111264. Its totient is φ = 56160000.

The previous prime is 144612697. The next prime is 144612701. The reversal of 144612700 is 7216441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144612701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921022 + ... + 921178.

Almost surely, 2144612700 is an apocalyptic number.

144612700 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 144612700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161555632).

144612700 is an abundant number, since it is smaller than the sum of its proper divisors (178498564).

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

144612700 is a wasteful number, since it uses less digits than its factorization.

144612700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 144612700 is about 12025.5020685209. The cubic root of 144612700 is about 524.8906196921.

It can be divided in two parts, 14461 and 2700, that added together give a square (17161 = 1312).

The spelling of 144612700 in words is "one hundred forty-four million, six hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 151 157 244 302 305 314 604 610 628 755 785 1220 1510 1525 1570 3020 3050 3140 3775 3925 6100 7550 7850 9211 9577 15100 15700 18422 19154 23707 36844 38308 46055 47414 47885 92110 94828 95770 118535 184220 191540 230275 237070 239425 460550 474140 478850 592675 921100 957700 1185350 1446127 2370700 2892254 5784508 7230635 14461270 28922540 36153175 72306350 144612700