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144202134040 = 235113160119927
BaseRepresentation
bin1000011001001100011…
…1011111001000011000
3111210012200202101222021
42012103013133020120
54330311221242130
6150125012104224
713263314625646
oct2062307371030
9453180671867
10144202134040
1156179388698
1223b45005074
13107a1337143
146d9d75c196
153b3eac337a
hex21931df218

144202134040 has 64 divisors (see below), whose sum is σ = 327546970560. Its totient is φ = 57131827200.

The previous prime is 144202134029. The next prime is 144202134059. The reversal of 144202134040 is 40431202441.

It is a junction number, because it is equal to n+sod(n) for n = 144202133996 and 144202134014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7226557 + ... + 7246483.

It is an arithmetic number, because the mean of its divisors is an integer number (5117921415).

Almost surely, 2144202134040 is an apocalyptic number.

144202134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144202134040 is an abundant number, since it is smaller than the sum of its proper divisors (183344836520).

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

144202134040 is a wasteful number, since it uses less digits than its factorization.

144202134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21652 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144202134040 its reverse (40431202441), we get a palindrome (184633336481).

The spelling of 144202134040 in words is "one hundred forty-four billion, two hundred two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 1601 2260 3202 4520 6404 8005 12808 16010 19927 32020 39854 64040 79708 99635 159416 180913 199270 361826 398540 723652 797080 904565 1447304 1809130 2251751 3618260 4503502 7236520 9007004 11258755 18014008 22517510 31903127 45035020 63806254 90070040 127612508 159515635 255225016 319031270 638062540 1276125080 3605053351 7210106702 14420213404 18025266755 28840426808 36050533510 72101067020 144202134040