Search a number
-
+
134403566113260 = 2232541128931412539
BaseRepresentation
bin11110100011110101000100…
…110100001001000111101100
3122121212212002121112200102200
4132203311010310021013230
5120104032000411111020
61153504051302221500
740211223443113353
oct3643650464110754
9577785077480380
10134403566113260
11399092611a4934
12130a838a424890
1359cc281765c32
14252924b14c99a
15108122a068590
hex7a3d44d091ec

134403566113260 has 144 divisors (see below), whose sum is σ = 417667183708320. Its totient is φ = 34964044600320.

The previous prime is 134403566113181. The next prime is 134403566113291. The reversal of 134403566113260 is 62311665304431.

134403566113260 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 3 + 5 + 6 + 611 + 3 + 26 + 0 = 666.

It is a super-2 number, since 2×1344035661132602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94444071 + ... + 95856609.

It is an arithmetic number, because the mean of its divisors is an integer number (2900466553530).

Almost surely, 2134403566113260 is an apocalyptic number.

134403566113260 is a gapful number since it is divisible by the number (10) 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 134403566113260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208833591854160).

134403566113260 is an abundant number, since it is smaller than the sum of its proper divisors (283263617595060).

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

134403566113260 is a wasteful number, since it uses less digits than its factorization.

134403566113260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425488 (or 1425483 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 134403566113260 in words is "one hundred thirty-four trillion, four hundred three billion, five hundred sixty-six million, one hundred thirteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 12893 25786 38679 51572 64465 77358 116037 128930 154716 193395 232074 257860 386790 464148 528613 580185 773580 1057226 1160370 1412539 1585839 2114452 2320740 2643065 2825078 3171678 4237617 4757517 5286130 5650156 6343356 7062695 7929195 8475234 9515034 10572260 12712851 14125390 15858390 16950468 19030068 21188085 23787585 25425702 28250780 31716780 42376170 47575170 50851404 57914099 63564255 84752340 95150340 115828198 127128510 173742297 231656396 254257020 289570495 347484594 521226891 579140990 694969188 868711485 1042453782 1158281980 1737422970 2084907564 2606134455 3474845940 5212268910 10424537820 18211865327 36423730654 54635595981 72847461308 91059326635 109271191962 163906787943 182118653270 218542383924 273177979905 327813575886 364237306540 546355959810 655627151772 746686478407 819533939715 1092711919620 1493372956814 1639067879430 2240059435221 2986745913628 3278135758860 3733432392035 4480118870442 6720178305663 7466864784070 8960237740884 11200297176105 13440356611326 14933729568140 22400594352210 26880713222652 33600891528315 44801188704420 67201783056630 134403566113260