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144345740 = 22571128521
BaseRepresentation
bin10001001101010…
…00101010001100
3101001121112010112
420212220222030
5243423030430
622153455152
73401630030
oct1046505214
9331545115
10144345740
1174530100
12404114b8
1323b9c3a6
14152561c0
15ca14195
hex89a8a8c

144345740 has 72 divisors (see below), whose sum is σ = 380831136. Its totient is φ = 44985600.

The previous prime is 144345739. The next prime is 144345743. The reversal of 144345740 is 47543441.

It is a super-2 number, since 2×1443457402 = 41671385312295200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144345697 and 144345706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144345743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12680 + ... + 21200.

Almost surely, 2144345740 is an apocalyptic number.

144345740 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 144345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190415568).

144345740 is an abundant number, since it is smaller than the sum of its proper divisors (236485396).

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

144345740 is a wasteful number, since it uses less digits than its factorization.

144345740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 144345740 is about 12014.3971966970. The cubic root of 144345740 is about 524.5674320481.

The spelling of 144345740 in words is "one hundred forty-four million, three hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 8521 16940 17042 34084 42605 59647 85210 93731 119294 170420 187462 238588 298235 374924 468655 596470 656117 937310 1031041 1192940 1312234 1874620 2062082 2624468 3280585 4124164 5155205 6561170 7217287 10310410 13122340 14434574 20620820 28869148 36086435 72172870 144345740