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144034440 = 233511195743
BaseRepresentation
bin10001001010111…
…00101010001000
3101001000201002220
420211130222020
5243333100230
622143054040
73366162324
oct1045345210
9331021086
10144034440
1174338230
12402a1320
1323ac07a4
14151b4984
15c9a1d10
hex895ca88

144034440 has 128 divisors (see below), whose sum is σ = 496281600. Its totient is φ = 33073920.

The previous prime is 144034439. The next prime is 144034483. The reversal of 144034440 is 44430441.

It is a super-2 number, since 2×1440344402 = 41491839812227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144034440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22209 + ... + 27951.

It is an arithmetic number, because the mean of its divisors is an integer number (3877200).

Almost surely, 2144034440 is an apocalyptic number.

144034440 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 144034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248140800).

144034440 is an abundant number, since it is smaller than the sum of its proper divisors (352247160).

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

144034440 is a wasteful number, since it uses less digits than its factorization.

144034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144034440 is about 12001.4349142092. The cubic root of 144034440 is about 524.1900617765.

Adding to 144034440 its reverse (44430441), we get a palindrome (188464881).

The spelling of 144034440 in words is "one hundred forty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 5743 6270 8360 11486 12540 17229 22972 25080 28715 34458 45944 57430 63173 68916 86145 109117 114860 126346 137832 172290 189519 218234 229720 252692 315865 327351 344580 379038 436468 505384 545585 631730 654702 689160 758076 872936 947595 1091170 1200287 1263460 1309404 1516152 1636755 1895190 2182340 2400574 2526920 2618808 3273510 3600861 3790380 4364680 4801148 6001435 6547020 7201722 7580760 9602296 12002870 13094040 14403444 18004305 24005740 28806888 36008610 48011480 72017220 144034440