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140769787249 = 74132192312
BaseRepresentation
bin1000001100011010001…
…0000111110101110001
3111110100111012010100001
42003012202013311301
54301244031142444
6144400241030001
713112256310000
oct2030642076561
9443314163301
10140769787249
1154777969753
1223347625301
13103751c7100
146b55970c37
1539dd5cb8d4
hex20c6887d71

140769787249 has 135 divisors (see below), whose sum is σ = 193927064139. Its totient is φ = 102112526880.

The previous prime is 140769787247. The next prime is 140769787273. The reversal of 140769787249 is 942787967041.

It is a happy number.

The square root of 140769787249 is 375193.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20823933025 + 119945854224 = 144305^2 + 346332^2 .

It is not a de Polignac number, because 140769787249 - 21 = 140769787247 is a prime.

It is a super-2 number, since 2×1407697872492 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140769787247) 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 134 ways as a sum of consecutive naturals, for example, 4540960864 + ... + 4540960894.

Almost surely, 2140769787249 is an apocalyptic number.

140769787249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

140769787249 is the 375193-rd square number.

140769787249 is the 187597-th centered octagonal number.

It is an amenable number.

140769787249 is a deficient number, since it is larger than the sum of its proper divisors (53157276890).

140769787249 is an frugal number, since it uses more digits than its factorization.

140769787249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

Multiplying 140769787249 by its sum of digits (64), we get a square (9009266383936 = 30015442).

The spelling of 140769787249 in words is "one hundred forty billion, seven hundred sixty-nine million, seven hundred eighty-seven thousand, two hundred forty-nine".

Divisors: 1 7 13 19 31 49 91 133 169 217 247 343 361 403 589 637 931 961 1183 1519 1729 2401 2527 2821 3211 4123 4459 4693 5239 6517 6727 7657 8281 10633 11191 12103 12493 17689 18259 19747 22477 28861 31213 32851 36673 45619 47089 53599 57967 61009 74431 78337 84721 87451 99541 123823 127813 138229 145483 157339 162409 202027 229957 237367 256711 329623 346921 375193 405769 427063 548359 593047 612157 696787 866761 894691 967603 1018381 1101373 1136863 1414189 1609699 1661569 1796977 1891279 2307361 2428447 2626351 2989441 3085771 3838513 4285099 4509973 4877509 6262837 7128667 7709611 7958041 11267893 11630983 12578839 13238953 16999129 18384457 20926087 21600397 26869591 29995693 31569811 34142563 43839859 49900669 55706287 58629649 81416881 92672671 118993903 146482609 151202779 220988677 238997941 349304683 389944009 410407543 569918167 648708697 832957321 1058419453 1546920739 2872852801 4540960879 7408936171 10828445173 20109969607 140769787249