Search a number
-
+
230340202012404 = 223411191338375321
BaseRepresentation
bin110100010111111001000001…
…111010110001111011110100
31010012120022022201102200020000
4310113321001322301323310
5220142343213203344104
62133520454502311300
766342346635265551
oct6427710172617364
91105508281380200
10230340202012404
1167436805096640
1221a01583728530
139b6acac3bc543
1440c474d467a28
151b96a25b14639
hexd17e41eb1ef4

230340202012404 has 120 divisors (see below), whose sum is σ = 660335380379136. Its totient is φ = 69434615664000.

The previous prime is 230340202012381. The next prime is 230340202012421. The reversal of 230340202012404 is 404210202043032.

230340202012404 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 40 + 202 + 0 + 12 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168506937 + ... + 169868384.

Almost surely, 2230340202012404 is an apocalyptic number.

It is an amenable number.

230340202012404 is an abundant number, since it is smaller than the sum of its proper divisors (429995178366732).

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

230340202012404 is a wasteful number, since it uses less digits than its factorization.

230340202012404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338375539 (or 338375528 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230340202012404 its reverse (404210202043032), we get a palindrome (634550404055436).

The spelling of 230340202012404 in words is "two hundred thirty trillion, three hundred forty billion, two hundred two million, twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 191 198 297 324 382 396 573 594 764 891 1146 1188 1719 1782 2101 2292 3438 3564 4202 5157 6303 6876 8404 10314 12606 15471 18909 20628 25212 30942 37818 56727 61884 75636 113454 170181 226908 340362 680724 338375321 676750642 1015125963 1353501284 2030251926 3045377889 3722128531 4060503852 6090755778 7444257062 9136133667 11166385593 12181511556 14888514124 18272267334 22332771186 27408401001 33499156779 36544534668 44665542372 54816802002 64629686311 66998313558 100497470337 109633604004 129259372622 133996627116 193889058933 200994940674 258518745244 301492411011 387778117866 401989881348 581667176799 602984822022 710926549421 775556235732 1163334353598 1205969644044 1421853098842 1745001530397 2132779648263 2326668707196 2843706197684 3490003060794 4265559296526 5235004591191 6398338944789 6980006121588 8531118593052 10470009182382 12796677889578 19195016834367 20940018364764 25593355779156 38390033668734 57585050503101 76780067337468 115170101006202 230340202012404