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144442440 = 23345109409
BaseRepresentation
bin10001001110000…
…00010001001000
3101001210102210000
420213000101020
5243434124230
622155523000
73402511662
oct1047002110
9331712700
10144442440
117459681a
1240459460
1323c043cc
141527d532
15ca32b60
hex89c0448

144442440 has 160 divisors (see below), whose sum is σ = 491139000. Its totient is φ = 38071296.

The previous prime is 144442433. The next prime is 144442451. The reversal of 144442440 is 44244441.

Adding to 144442440 its reverse (44244441), we get a palindrome (188686881).

It can be written as a sum of positive squares in 4 ways, for example, as 142420356 + 2022084 = 11934^2 + 1422^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352956 + ... + 353364.

Almost surely, 2144442440 is an apocalyptic number.

144442440 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 144442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245569500).

144442440 is an abundant number, since it is smaller than the sum of its proper divisors (346696560).

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

144442440 is a wasteful number, since it uses less digits than its factorization.

144442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 144442440 is about 12018.4208613278. The cubic root of 144442440 is about 524.6845451857.

The spelling of 144442440 in words is "one hundred forty-four million, four hundred forty-two 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 81 90 108 109 120 135 162 180 216 218 270 324 327 360 405 409 436 540 545 648 654 810 818 872 981 1080 1090 1227 1308 1620 1635 1636 1962 2045 2180 2454 2616 2943 3240 3270 3272 3681 3924 4090 4360 4905 4908 5886 6135 6540 7362 7848 8180 8829 9810 9816 11043 11772 12270 13080 14715 14724 16360 17658 18405 19620 22086 23544 24540 29430 29448 33129 35316 36810 39240 44145 44172 44581 49080 55215 58860 66258 70632 73620 88290 88344 89162 110430 117720 132516 133743 147240 165645 176580 178324 220860 222905 265032 267486 331290 353160 356648 401229 441720 445810 534972 662580 668715 802458 891620 1069944 1203687 1325160 1337430 1604916 1783240 2006145 2407374 2674860 3209832 3611061 4012290 4814748 5349720 6018435 7222122 8024580 9629496 12036870 14444244 16049160 18055305 24073740 28888488 36110610 48147480 72221220 144442440