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134433016146 = 23411132446387
BaseRepresentation
bin111110100110011010…
…1010000100101010010
3110211222212102210120000
41331030311100211102
54200304323004041
6141431354030430
712466242532452
oct1751465204522
9424885383500
10134433016146
1152015a29840
1222079418416
13c8a5427600
146714139d62
15376c11ebb6
hex1f4cd50952

134433016146 has 120 divisors (see below), whose sum is σ = 355837301424. Its totient is φ = 37603556640.

The previous prime is 134433016141. The next prime is 134433016153. The reversal of 134433016146 is 641610334431.

134433016146 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 30 + 1 + 614 + 6 = 666.

It is a super-2 number, since 2×1344330161462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134433016146.

It is not an unprimeable number, because it can be changed into a prime (134433016141) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77965 + ... + 524351.

Almost surely, 2134433016146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134433016146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177918650712).

134433016146 is an abundant number, since it is smaller than the sum of its proper divisors (221404285278).

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

134433016146 is a wasteful number, since it uses less digits than its factorization.

134433016146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446438 (or 446416 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 134433016146 in words is "one hundred thirty-four billion, four hundred thirty-three million, sixteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 286 297 338 351 429 507 594 702 858 891 1014 1053 1287 1521 1782 1859 2106 2574 3042 3718 3861 4563 5577 7722 9126 11154 11583 13689 16731 23166 27378 33462 50193 100386 150579 301158 446387 892774 1339161 2678322 4017483 4910257 5803031 8034966 9820514 11606062 12052449 14730771 17409093 24104898 29461542 34818186 36157347 44192313 52227279 63833341 72314694 75439403 88384626 104454558 127666682 132576939 150878806 156681837 191500023 226318209 265153878 313363674 383000046 397730817 452636418 470045511 574500069 678954627 795461634 829833433 940091022 1149000138 1357909254 1659666866 1723500207 2036863881 2489500299 3447000414 4073727762 4979000598 5170500621 6110591643 7468500897 10341001242 12221183286 14937001794 22405502691 44811005382 67216508073 134433016146