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144240100342320 = 2435601000418093
BaseRepresentation
bin100000110010111110000011…
…111100010111101000110000
3200220201012220121002101022110
4200302332003330113220300
5122401212211141423240
61230434553132405320
742245001102366213
oct4062760374275060
9626635817071273
10144240100342320
1141a60979347794
1214216845916840
136263a246110b8
14278938835977a
1511a2039123c80
hex832f83f17a30

144240100342320 has 40 divisors (see below), whose sum is σ = 447144311061936. Its totient is φ = 38464026757888.

The previous prime is 144240100342277. The next prime is 144240100342333. The reversal of 144240100342320 is 23243001042441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300500208807 + ... + 300500209286.

Almost surely, 2144240100342320 is an apocalyptic number.

144240100342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240100342320 is an abundant number, since it is smaller than the sum of its proper divisors (302904210719616).

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

144240100342320 is a wasteful number, since it uses less digits than its factorization.

144240100342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601000418109 (or 601000418103 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144240100342320 its reverse (23243001042441), we get a palindrome (167483101384761).

The spelling of 144240100342320 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601000418093 1202000836186 1803001254279 2404001672372 3005002090465 3606002508558 4808003344744 6010004180930 7212005017116 9015006271395 9616006689488 12020008361860 14424010034232 18030012542790 24040016723720 28848020068464 36060025085580 48080033447440 72120050171160 144240100342320