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713407737141 = 3311193137110221
BaseRepresentation
bin10100110000110100110…
…10100010110100110101
32112012102121112000102000
422120122122202310311
543142024340042031
61303422431405513
7102353623466121
oct12303232426465
92465377460360
10713407737141
11255611083aa0
12b631a983899
135237415bb08
1426759c8a581
15138561ea3e6
hexa61a6a2d35

713407737141 has 128 divisors (see below), whose sum is σ = 1286687539200. Its totient is φ = 385681824000.

The previous prime is 713407737037. The next prime is 713407737149. The reversal of 713407737141 is 141737704317.

713407737141 is a `hidden beast` number, since 71 + 3 + 407 + 7 + 37 + 141 = 666.

It is not a de Polignac number, because 713407737141 - 210 = 713407736117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713407737149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6417411 + ... + 6527631.

It is an arithmetic number, because the mean of its divisors is an integer number (10052246400).

Almost surely, 2713407737141 is an apocalyptic number.

It is an amenable number.

713407737141 is a deficient number, since it is larger than the sum of its proper divisors (573279802059).

713407737141 is a wasteful number, since it uses less digits than its factorization.

713407737141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110328 (or 110322 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 713407737141 in words is "seven hundred thirteen billion, four hundred seven million, seven hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 27 31 33 37 57 93 99 111 171 209 279 297 333 341 407 513 589 627 703 837 999 1023 1147 1221 1767 1881 2109 3069 3441 3663 5301 5643 6327 6479 7733 9207 10323 10989 12617 15903 18981 19437 21793 23199 30969 37851 58311 65379 69597 110221 113553 174933 196137 208791 239723 330663 340659 588411 719169 991989 1212431 2094199 2157507 2975967 3416851 3637293 4078177 6282597 6472521 10250553 10911879 12234531 18847791 23036189 30751659 32735637 36703593 37585361 44859947 56543373 64920169 69108567 77485363 92254977 110110779 112756083 126423487 134579841 194760507 207325701 232456089 338268249 379270461 403739523 584281521 621977103 697368267 714121859 852338993 1014804747 1137811383 1211218569 1390658357 1752844563 2092104801 2142365577 2402046253 2557016979 3413434149 4171975071 6427096731 7206138759 7671050937 12515925213 19281290193 21618416277 23013152811 26422508783 37547775639 64855248831 79267526349 237802579047 713407737141