Search a number
-
+
511004422140245 = 51123267401653713
BaseRepresentation
bin111010000110000010111110…
…1000011110111000101010101
32111000022112201210021022201222
41310030011331003313011111
51013434244024031441440
65010452105111100125
7212430564644001335
oct16414057503670525
92430275653238658
10511004422140245
11138904838493140
12493900b7071645
1318c19683000377
149028a630310c5
153e125e74162b5
hex1d0c17d0f7155

511004422140245 has 96 divisors (see below), whose sum is σ = 711508969793664. Its totient is φ = 349301855232000.

The previous prime is 511004422140221. The next prime is 511004422140259. The reversal of 511004422140245 is 542041224400115.

It is a happy number.

It is not a de Polignac number, because 511004422140245 - 214 = 511004422123861 is a prime.

It is a super-2 number, since 2×5110044221402452 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781368509 + ... + 782022221.

It is an arithmetic number, because the mean of its divisors is an integer number (7411551768684).

Almost surely, 2511004422140245 is an apocalyptic number.

511004422140245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

511004422140245 is a deficient number, since it is larger than the sum of its proper divisors (200504547653419).

511004422140245 is a wasteful number, since it uses less digits than its factorization.

511004422140245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654243 (or 654220 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 511004422140245 in words is "five hundred eleven trillion, four billion, four hundred twenty-two million, one hundred forty thousand, two hundred forty-five".

Divisors: 1 5 11 23 55 67 115 253 335 401 529 737 1265 1541 2005 2645 3685 4411 5819 7705 9223 16951 22055 26867 29095 35443 46115 84755 101453 134335 177215 212129 295537 389873 507265 617941 653713 1060645 1477685 1949365 2333419 3089705 3268565 6797351 7190843 11667095 14212643 15035399 33986755 35954215 43798771 71063215 75176995 156339073 165389389 218993855 262138913 345814177 481786481 781695365 826946945 1007371733 1310694565 1729070885 2408932405 2883528043 3803955947 5036858665 6029194999 11081089063 14417640215 17563307171 19019779735 23169549859 30145974995 55405445315 66321144989 87816535855 115847749295 138671484977 193196378881 254865048449 331605724945 403956064933 693357424885 965981894405 1274325242245 1525386334747 2019780324665 4443516714263 7626931673735 9290989493459 22217583571315 46454947467295 102200884428049 511004422140245