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138214094350 = 252231572393203
BaseRepresentation
bin1000000010111000110…
…0111011011000001110
3111012202101012110202111
42000232030323120032
54231030302004400
6143254503414234
712662034263203
oct2005614733016
9435671173674
10138214094350
1153686286862
122295375437a
13100588982a7
146992383caa
1538de04e3ba
hex202e33b60e

138214094350 has 96 divisors (see below), whose sum is σ = 271178357760. Its totient is φ = 52308896640.

The previous prime is 138214094329. The next prime is 138214094351. The reversal of 138214094350 is 53490412831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138214094351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43149849 + ... + 43153051.

It is an arithmetic number, because the mean of its divisors is an integer number (2824774560).

Almost surely, 2138214094350 is an apocalyptic number.

138214094350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138214094350 is a deficient number, since it is larger than the sum of its proper divisors (132964263410).

138214094350 is a wasteful number, since it uses less digits than its factorization.

138214094350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 138214094350 in words is "one hundred thirty-eight billion, two hundred fourteen million, ninety-four thousand, three hundred fifty".

Divisors: 1 2 5 10 23 25 46 50 115 157 230 239 314 478 575 785 1150 1195 1570 2390 3203 3611 3925 5497 5975 6406 7222 7850 10994 11950 16015 18055 27485 32030 36110 37523 54970 73669 75046 80075 90275 137425 147338 160150 180550 187615 274850 368345 375230 502871 736690 765517 863029 938075 1005742 1531034 1726058 1841725 1876150 2514355 3683450 3827585 4315145 5028710 7655170 8630290 11566033 12571775 17606891 19137925 21575725 23132066 25143550 35213782 38275850 43151450 57830165 88034455 115660330 120186169 176068910 240372338 289150825 440172275 578301650 600930845 880344550 1201861690 2764281887 3004654225 5528563774 6009308450 13821409435 27642818870 69107047175 138214094350