Search a number
-
+
134332204124336 = 241911360117893637
BaseRepresentation
bin11110100010110010100111…
…010011110000100010110000
3122121122000220021101000222212
4132202302213103300202300
5120101344323223434321
61153411210155151252
740203116150163461
oct3642624723604260
9577560807330885
10134332204124336
1139890a71216389
1213096593445528
1359c561b0bb29a
1425259db6bad68
15107e4500c055b
hex7a2ca74f08b0

134332204124336 has 160 divisors (see below), whose sum is σ = 277082283307200. Its totient is φ = 62910502502400.

The previous prime is 134332204124309. The next prime is 134332204124383. The reversal of 134332204124336 is 633421402233431.

It is a junction number, because it is equal to n+sod(n) for n = 134332204124293 and 134332204124302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36934890710 + ... + 36934894346.

It is an arithmetic number, because the mean of its divisors is an integer number (1731764270670).

Almost surely, 2134332204124336 is an apocalyptic number.

134332204124336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134332204124336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138541141653600).

134332204124336 is an abundant number, since it is smaller than the sum of its proper divisors (142750079182864).

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

134332204124336 is a wasteful number, since it uses less digits than its factorization.

134332204124336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 41.

Adding to 134332204124336 its reverse (633421402233431), we get a palindrome (767753606357767).

The spelling of 134332204124336 in words is "one hundred thirty-four trillion, three hundred thirty-two billion, two hundred four million, one hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 601 904 1202 1789 1808 2147 2404 3578 3637 4294 4808 7156 7274 8588 9616 11419 14312 14548 17176 22838 28624 29096 33991 34352 45676 58192 67913 67982 69103 91352 135826 135964 138206 182704 202157 271652 271928 276412 404314 410981 543304 543856 552824 808628 821962 1075189 1086608 1105648 1290347 1617256 1643924 2150378 2185837 2580694 3234512 3287848 3840983 4300756 4371674 5161388 6506593 6575696 7681966 7808639 8601512 8743348 10322776 13013186 15363932 15617278 17203024 17486696 20428591 20645552 26026372 30727864 31234556 34973392 40857182 41530903 52052744 61455728 62469112 81714364 83061806 104105488 121496357 123625267 124938224 163428728 166123612 242992714 246999581 247250534 326857456 332247224 485985428 493999162 494501068 664494448 735245009 971970856 987998324 989002136 1470490018 1943941712 1975996648 1978004272 2308430783 2940980036 3910462393 3951993296 4616861566 4692992039 5881960072 7820924786 9233723132 9385984078 11763920144 13969655171 15641849572 18467446264 18771968156 27939310342 31283699144 36934892528 37543936312 55878620684 62567398288 74298785467 75087872624 111757241368 148597570934 223514482736 297195141868 441882250409 594390283736 883764500818 1188780567472 1767529001636 3535058003272 7070116006544 8395762757771 16791525515542 33583051031084 67166102062168 134332204124336