Search a number
-
+
20240413668195 = 35719971031015471
BaseRepresentation
bin1001001101000100101101…
…01010101011001101100011
32122122222001020012020201220
410212202112222223031203
510123104331344340240
6111014152341230123
74156215214336260
oct446422652531543
978588036166656
1020240413668195
1164a3a02938316
12232a889702343
13b3a8802a1136
144dd8d982c267
152517762a55d0
hex126896aab363

20240413668195 has 128 divisors (see below), whose sum is σ = 39742811996160. Its totient is φ = 8591168655360.

The previous prime is 20240413668193. The next prime is 20240413668263. The reversal of 20240413668195 is 59186631404202.

It is a happy number.

It is not a de Polignac number, because 20240413668195 - 21 = 20240413668193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20240413668191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19424310 + ... + 20439780.

It is an arithmetic number, because the mean of its divisors is an integer number (310490718720).

Almost surely, 220240413668195 is an apocalyptic number.

20240413668195 is a deficient number, since it is larger than the sum of its proper divisors (19502398327965).

20240413668195 is a wasteful number, since it uses less digits than its factorization.

20240413668195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015705.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 20240413668195 in words is "twenty trillion, two hundred forty billion, four hundred thirteen million, six hundred sixty-eight thousand, one hundred ninety-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 97 103 105 133 285 291 309 399 485 515 665 679 721 1455 1545 1843 1957 1995 2037 2163 3395 3605 5529 5871 9215 9785 9991 10185 10815 12901 13699 27645 29355 29973 38703 41097 49955 64505 68495 69937 149865 189829 193515 205485 209811 349685 569487 949145 1015471 1049055 1328803 2847435 3046413 3986409 5077355 6644015 7108297 15232065 19293949 19932045 21324891 35541485 57881847 96469745 98500687 104593513 106624455 135057643 289409235 295502061 313780539 405172929 492503435 522967565 675288215 689504809 732154591 1477510305 1568902695 1871513053 1987276747 2025864645 2068514427 2196463773 3447524045 3660772955 5614539159 5961830241 9357565265 9936383735 10145570761 10342572135 10982318865 13100591371 13910937229 28072695795 29809151205 30436712283 39301774113 41732811687 50727853805 65502956855 69554686145 71018995327 152183561415 192765844459 196508870565 208664058435 213056985981 355094976635 578297533377 963829222295 1065284929905 1349360911213 2891487666885 4048082733639 6746804556065 20240413668195