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134322413346 = 233111273834649
BaseRepresentation
bin111110100011000111…
…1010101111100100010
3110211201011022121001000
41331012033111330202
54200043014211341
6141412403252430
712463430450352
oct1750617257442
9424634277030
10134322413346
1151a69556270
122204837a116
13c888540a74
146703588b62
1537625738b6
hex1f463d5f22

134322413346 has 128 divisors (see below), whose sum is σ = 329121792000. Its totient is φ = 40269156480.

The previous prime is 134322413341. The next prime is 134322413347. The reversal of 134322413346 is 643314223431.

It is a happy number.

134322413346 is a `hidden beast` number, since 1 + 343 + 2 + 241 + 33 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134322413346.

It is not an unprimeable number, because it can be changed into a prime (134322413341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28890430 + ... + 28895078.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264000).

Almost surely, 2134322413346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134322413346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560896000).

134322413346 is an abundant number, since it is smaller than the sum of its proper divisors (194799378654).

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

134322413346 is a wasteful number, since it uses less digits than its factorization.

134322413346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5175 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 134322413346 its reverse (643314223431), we get a palindrome (777636636777).

The spelling of 134322413346 in words is "one hundred thirty-four billion, three hundred twenty-two million, four hundred thirteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 383 594 762 766 1143 1149 1397 2286 2298 2794 3429 3447 4191 4213 4649 6858 6894 8382 8426 9298 10341 12573 12639 13947 20682 25146 25278 27894 37719 37917 41841 48641 51139 75438 75834 83682 97282 102278 113751 125523 145923 153417 227502 251046 291846 306834 437769 460251 535051 590423 875538 920502 1070102 1180846 1313307 1380753 1605153 1771269 1780567 2626614 2761506 3210306 3542538 3561134 4815459 5313807 5341701 6494653 9630918 10627614 10683402 12989306 14446377 15941421 16025103 19483959 19586237 28892754 31882842 32050206 38967918 39172474 48075309 58451877 58758711 96150618 116903754 117517422 175355631 176276133 226132009 350711262 352552266 452264018 528828399 678396027 1057656798 1356792054 2035188081 2487452099 4070376162 4974904198 6105564243 7462356297 12211128486 14924712594 22387068891 44774137782 67161206673 134322413346