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515046514140 = 22355211502259
BaseRepresentation
bin1110111111010110010…
…10100001110111011100
31211020102110212211100000
413133223022201313130
531414303401423030
61032335322134300
752132222064454
oct7375312416734
91736373784300
10515046514140
1118948036a254
12839a0051390
1339751501692
141acdd6b4d64
15d5e6a84860
hex77eb2a1ddc

515046514140 has 144 divisors (see below), whose sum is σ = 1627852786560. Its totient is φ = 136694537280.

The previous prime is 515046514063. The next prime is 515046514153. The reversal of 515046514140 is 41415640515.

515046514140 is a `hidden beast` number, since 5 + 1 + 50 + 465 + 1 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 515046514095 and 515046514104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774331 + ... + 1276589.

It is an arithmetic number, because the mean of its divisors is an integer number (11304533240).

Almost surely, 2515046514140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515046514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813926393280).

515046514140 is an abundant number, since it is smaller than the sum of its proper divisors (1112806272420).

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

515046514140 is a wasteful number, since it uses less digits than its factorization.

515046514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502494 (or 502480 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 515046514140 in words is "five hundred fifteen billion, forty-six million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 243 270 324 405 422 486 540 633 810 844 972 1055 1215 1266 1620 1899 2110 2430 2532 3165 3798 4220 4860 5697 6330 7596 9495 11394 12660 17091 18990 22788 28485 34182 37980 51273 56970 68364 85455 102546 113940 170910 205092 256365 341820 502259 512730 1004518 1025460 1506777 2009036 2511295 3013554 4520331 5022590 6027108 7533885 9040662 10045180 13560993 15067770 18081324 22601655 27121986 30135540 40682979 45203310 54243972 67804965 81365958 90406620 105976649 122048937 135609930 162731916 203414895 211953298 244097874 271219860 317929947 406829790 423906596 488195748 529883245 610244685 635859894 813659580 953789841 1059766490 1220489370 1271719788 1589649735 1907579682 2119532980 2440978740 2861369523 3179299470 3815159364 4768949205 5722739046 6358598940 8584108569 9537898410 11445478092 14306847615 17168217138 19075796820 25752325707 28613695230 34336434276 42920542845 51504651414 57227390460 85841085690 103009302828 128761628535 171682171380 257523257070 515046514140