Search a number
-
+
133025334461416 = 233137941108714173
BaseRepresentation
bin11110001111110001011111…
…110011101000001111101000
3122110000002122021112112211201
4132033301133303220033220
5114413441341110231131
61150530554530533544
740006522540266235
oct3617613763501750
9573002567475751
10133025334461416
1139427800381821
1212b0524b4372b4
13592c3099c3c57
1424bc663a2278c
15105a463029761
hex78fc5fce83e8

133025334461416 has 128 divisors (see below), whose sum is σ = 264970216488960. Its totient is φ = 62498928153600.

The previous prime is 133025334461413. The next prime is 133025334461431. The reversal of 133025334461416 is 614164433520331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133025334461413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9385820506 + ... + 9385834678.

It is an arithmetic number, because the mean of its divisors is an integer number (2070079816320).

Almost surely, 2133025334461416 is an apocalyptic number.

It is an amenable number.

133025334461416 is a deficient number, since it is larger than the sum of its proper divisors (131944882027544).

133025334461416 is a wasteful number, since it uses less digits than its factorization.

133025334461416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16275 (or 16271 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

Adding to 133025334461416 its reverse (614164433520331), we get a palindrome (747189767981747).

The spelling of 133025334461416 in words is "one hundred thirty-three trillion, twenty-five billion, three hundred thirty-four million, four hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 31 37 62 74 124 148 248 296 941 1087 1147 1882 2174 2294 3764 4348 4588 7528 8696 9176 14173 28346 29171 33697 34817 40219 56692 58342 67394 69634 80438 113384 116684 134788 139268 160876 233368 269576 278536 321752 439363 524401 878726 1022867 1048802 1079327 1246789 1757452 2045734 2097604 2158654 2493578 3514904 4091468 4195208 4317308 4987156 8182936 8634616 9974312 13336793 15406051 16256431 26673586 30812102 31708877 32512862 37846079 53347172 61624204 63417754 65025724 75692158 106694344 123248408 126835508 130051448 151384316 253671016 302768632 413440583 477587581 493461341 570023887 826881166 955175162 986922682 1140047774 1173228449 1653762332 1910350324 1973845364 2280095548 2346456898 3307524664 3820700648 3947690728 4560191096 4692913796 9385827592 14497093991 15297301571 17670740497 28994187982 30594603142 35341480994 57988375964 61189206284 70682961988 115976751928 122378412568 141365923976 449409913721 536392477667 898819827442 1072784955334 1797639654884 2145569910668 3595279309768 4291139821336 16628166807677 33256333615354 66512667230708 133025334461416