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144753700 = 225271315907
BaseRepresentation
bin10001010000011…
…00010000100100
3101002101020202011
420220030100210
5244024104300
622210324004
73405246310
oct1050142044
9332336664
10144753700
1174789663
1240589604
1323cb2ca0
1415320b40
15ca94eba
hex8a0c424

144753700 has 72 divisors (see below), whose sum is σ = 386628032. Its totient is φ = 45809280.

The previous prime is 144753673. The next prime is 144753733. The reversal of 144753700 is 7357441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147 + ... + 17053.

Almost surely, 2144753700 is an apocalyptic number.

144753700 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 144753700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193314016).

144753700 is an abundant number, since it is smaller than the sum of its proper divisors (241874332).

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

144753700 is a wasteful number, since it uses less digits than its factorization.

144753700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15941 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 144753700 is about 12031.3631812858. The cubic root of 144753700 is about 525.0611568968.

The spelling of 144753700 in words is "one hundred forty-four million, seven hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 15907 31814 63628 79535 111349 159070 206791 222698 318140 397675 413582 445396 556745 795350 827164 1033955 1113490 1447537 1590700 2067910 2226980 2783725 2895074 4135820 5169775 5567450 5790148 7237685 10339550 11134900 14475370 20679100 28950740 36188425 72376850 144753700