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144226440 = 23335133543
BaseRepresentation
bin10001001100010…
…11100010001000
3101001101110111000
420212023202020
5243410221230
622151135000
73400622151
oct1046134210
9331343430
10144226440
1174459506
1240374460
1323b59cb7
1415224928
15c9ddb60
hex898b888

144226440 has 64 divisors (see below), whose sum is σ = 480758400. Its totient is φ = 38460096.

The previous prime is 144226417. The next prime is 144226447. The reversal of 144226440 is 44622441.

It is a happy number.

144226440 is a `hidden beast` number, since 14 + 4 + 2 + 2 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144226447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65692 + ... + 67851.

It is an arithmetic number, because the mean of its divisors is an integer number (7511850).

Almost surely, 2144226440 is an apocalyptic number.

144226440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144226440 is an abundant number, since it is smaller than the sum of its proper divisors (336531960).

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

144226440 is a wasteful number, since it uses less digits than its factorization.

144226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133563 (or 133553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144226440 is about 12009.4312937791. The cubic root of 144226440 is about 524.4228760135.

Adding to 144226440 its reverse (44622441), we get a palindrome (188848881).

The spelling of 144226440 in words is "one hundred forty-four million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 133543 267086 400629 534172 667715 801258 1068344 1201887 1335430 1602516 2003145 2403774 2670860 3205032 3605661 4006290 4807548 5341720 6009435 7211322 8012580 9615096 12018870 14422644 16025160 18028305 24037740 28845288 36056610 48075480 72113220 144226440