Search a number
-
+
400421330333115 = 357134744071141623
BaseRepresentation
bin101101100001011100101101…
…1001001111010110110111011
31221111202220102222121200100020
41123002321123021322312323
5404441000341031124430
63535343004130141523
7150225325563444420
oct13302713311726673
91844686388550306
10400421330333115
1110664a807012a73
1238ab04054218a3
131425775305c480
1470c46d266bd47
153145d27475b10
hex16c2e5b27adbb

400421330333115 has 128 divisors (see below), whose sum is σ = 805323027382272. Its totient is φ = 165368995683840.

The previous prime is 400421330333111. The next prime is 400421330333207. The reversal of 400421330333115 is 511333033124004.

It is a happy number.

It is not a de Polignac number, because 400421330333115 - 22 = 400421330333111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400421330333111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2827304194 + ... + 2827445816.

It is an arithmetic number, because the mean of its divisors is an integer number (6291586151424).

Almost surely, 2400421330333115 is an apocalyptic number.

400421330333115 is an abundant number, since it is smaller than the sum of its proper divisors (404901697049157).

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

400421330333115 is a wasteful number, since it uses less digits than its factorization.

400421330333115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185769.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 400421330333115 its reverse (511333033124004), we get a palindrome (911754363457119).

The spelling of 400421330333115 in words is "four hundred trillion, four hundred twenty-one billion, three hundred thirty million, three hundred thirty-three thousand, one hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 47 65 91 105 141 195 235 273 329 455 611 705 987 1365 1645 1833 3055 4277 4935 9165 12831 21385 44071 64155 132213 141623 220355 308497 424869 572923 661065 708115 925491 991361 1542485 1718769 1841099 2071337 2124345 2864615 2974083 4010461 4627455 4956805 5523297 6214011 6656281 8593845 9205495 10356685 12031383 12887693 14499359 14870415 19968843 20052305 26927381 27616485 31070055 33281405 38663079 43498077 46593967 60156915 64438465 72496795 80782143 86531653 99844215 134636905 139781901 188491667 193315395 217490385 232969835 259594959 403910715 432658265 565475001 605721571 698909505 942458335 1297974795 1817164713 2827375005 3028607855 6241467233 9085823565 18724401699 31207336165 43690270631 81139074029 93622008495 131070811893 218451353155 243417222087 293348959951 405695370145 567973518203 655354059465 880046879853 1217086110435 1466744799755 1703920554609 2053442719657 2839867591015 3813536479363 4400234399265 6160328158971 8519602773045 10267213598285 11440609438089 19067682396815 26694755355541 30801640794855 57203047190445 80084266066623 133473776777705 400421330333115