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144238136460 = 2235111462914939
BaseRepresentation
bin1000011001010101000…
…0110100110010001100
3111210022012111112000020
42012111100310302030
54330344430331320
6150132335502140
713264232634165
oct2062520646214
9453265445006
10144238136460
1156197738860
1223b55087950
13107a8931252
146da445076c
153b42d35940
hex2195434c8c

144238136460 has 96 divisors (see below), whose sum is σ = 440641555200. Its totient is φ = 34962090240.

The previous prime is 144238136453. The next prime is 144238136527. The reversal of 144238136460 is 64631832441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9647671 + ... + 9662609.

It is an arithmetic number, because the mean of its divisors is an integer number (4590016200).

Almost surely, 2144238136460 is an apocalyptic number.

144238136460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144238136460 is an abundant number, since it is smaller than the sum of its proper divisors (296403418740).

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

144238136460 is a wasteful number, since it uses less digits than its factorization.

144238136460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29591 (or 29589 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 144238136460 in words is "one hundred forty-four billion, two hundred thirty-eight million, one hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 14629 14939 29258 29878 43887 44817 58516 59756 73145 74695 87774 89634 146290 149390 160919 164329 175548 179268 219435 224085 292580 298780 321838 328658 438870 448170 482757 492987 643676 657316 804595 821645 877740 896340 965514 985974 1609190 1643290 1931028 1971948 2413785 2464935 3218380 3286580 4827570 4929870 9655140 9859740 218542631 437085262 655627893 874170524 1092713155 1311255786 2185426310 2403968941 2622511572 3278139465 4370852620 4807937882 6556278930 7211906823 9615875764 12019844705 13112557860 14423813646 24039689410 28847627292 36059534115 48079378820 72119068230 144238136460