Search a number
-
+
134326514035252 = 227112329636399581
BaseRepresentation
bin11110100010101101010100…
…001001110010101000110100
3122121121111012201110120011201
4132202231110021302220310
5120101301200043112002
61153404425412542244
740202525145213460
oct3642552411625064
9577544181416151
10134326514035252
1139889611319220
1213095465921984
1359c4c222b0476
14252561bb014a0
15107e21a7a3087
hex7a2b54272a34

134326514035252 has 96 divisors (see below), whose sum is σ = 305921726982144. Its totient is φ = 50042667734400.

The previous prime is 134326514035201. The next prime is 134326514035253. The reversal of 134326514035252 is 252530415623431.

It is a super-2 number, since 2×1343265140352522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134326514035253) 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, 17790102 + ... + 24189682.

It is an arithmetic number, because the mean of its divisors is an integer number (3186684656064).

Almost surely, 2134326514035252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134326514035252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152960863491072).

134326514035252 is an abundant number, since it is smaller than the sum of its proper divisors (171595212946892).

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

134326514035252 is a wasteful number, since it uses less digits than its factorization.

134326514035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402589 (or 6402587 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

Adding to 134326514035252 its reverse (252530415623431), we get a palindrome (386856929658683).

The spelling of 134326514035252 in words is "one hundred thirty-four trillion, three hundred twenty-six billion, five hundred fourteen million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 2963 3542 5926 7084 11852 20741 32593 41482 65186 68149 82964 130372 136298 228151 272596 456302 477043 749639 912604 954086 1499278 1908172 2998556 5247473 6399581 10494946 12799162 20989892 25598324 44797067 70395391 89594134 140790782 147190363 179188268 281581564 294380726 492767737 588761452 985535474 1030332541 1619093993 1971070948 2060665082 3238187986 4121330164 6476375972 11333657951 18961958503 22667315902 37923917006 45334631804 75847834012 132733709521 208581543533 265467419042 417163087066 436125045569 530934838084 834326174132 872250091138 1460070804731 1744500182276 2920141609462 3052875318983 4797375501259 5840283218924 6105750637966 9594751002518 12211501275932 19189502005036 33581628508813 67163257017626 134326514035252