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144041120340 = 2235131131634231
BaseRepresentation
bin1000011000100110000…
…1010001001001010100
3111202210110210001200220
42012021201101021110
54324444011322330
6150101021034340
713256321215155
oct2061141211124
9452713701626
10144041120340
11560a6503717
1223abb0b59b0
1310776b80170
146d8620792c
153b308ba710
hex2189851254

144041120340 has 96 divisors (see below), whose sum is σ = 438183357696. Its totient is φ = 35142481920.

The previous prime is 144041120323. The next prime is 144041120369. The reversal of 144041120340 is 43021140441.

It is a self number, because there is not a number n which added to its sum of digits gives 144041120340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728976 + ... + 905255.

It is an arithmetic number, because the mean of its divisors is an integer number (4564409976).

Almost surely, 2144041120340 is an apocalyptic number.

144041120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144041120340 is an abundant number, since it is smaller than the sum of its proper divisors (294142237356).

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

144041120340 is a wasteful number, since it uses less digits than its factorization.

144041120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634369 (or 1634367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144041120340 its reverse (43021140441), we get a palindrome (187062260781).

The spelling of 144041120340 in words is "one hundred forty-four billion, forty-one million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 1130 1356 1469 1695 2260 2938 3390 4407 5876 6780 7345 8814 14690 17628 22035 29380 44070 88140 1634231 3268462 4902693 6536924 8171155 9805386 16342310 19610772 21245003 24513465 32684620 42490006 49026930 63735009 84980012 98053860 106225015 127470018 184668103 212450030 254940036 318675045 369336206 424900060 554004309 637350090 738672412 923340515 1108008618 1274700180 1846681030 2216017236 2400685339 2770021545 3693362060 4801370678 5540043090 7202056017 9602741356 11080086180 12003426695 14404112034 24006853390 28808224068 36010280085 48013706780 72020560170 144041120340