Search a number
-
+
311514342252150 = 235223308929230823
BaseRepresentation
bin100011011010100100001010…
…1101101100101111001110110
31111211222110222010021212200010
41012311020111231211321312
5311312322333104032100
63022311414015201050
7122421111541656222
oct10665102555457166
91454873863255603
10311514342252150
1190292544048184
122ab31696b16186
13104a88a415826b
1456cd535d19782
152603309d37750
hex11b5215b65e76

311514342252150 has 96 divisors (see below), whose sum is σ = 806405941716480. Its totient is φ = 79433004935680.

The previous prime is 311514342252121. The next prime is 311514342252161. The reversal of 311514342252150 is 51252243415113.

It is a junction number, because it is equal to n+sod(n) for n = 311514342252099 and 311514342252108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3958362 + ... + 25272461.

It is an arithmetic number, because the mean of its divisors is an integer number (8400061892880).

Almost surely, 2311514342252150 is an apocalyptic number.

311514342252150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311514342252150 is an abundant number, since it is smaller than the sum of its proper divisors (494891599464330).

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

311514342252150 is a wasteful number, since it uses less digits than its factorization.

311514342252150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29233950 (or 29233945 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 311514342252150 its reverse (51252243415113), we get a palindrome (362766585667263).

The spelling of 311514342252150 in words is "three hundred eleven trillion, five hundred fourteen billion, three hundred forty-two million, two hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3089 3450 6178 9267 15445 18534 30890 46335 71047 77225 92670 142094 154450 213141 231675 355235 426282 463350 710470 1065705 1776175 2131410 3552350 5328525 10657050 29230823 58461646 87692469 146154115 175384938 292308230 438462345 672308929 730770575 876924690 1344617858 1461541150 2016926787 2192311725 3361544645 4033853574 4384623450 6723089290 10084633935 16807723225 20169267870 33615446450 50423169675 90294012247 100846339350 180588024494 270882036741 451470061235 541764073482 902940122470 1354410183705 2076762281681 2257350306175 2708820367410 4153524563362 4514700612350 6230286845043 6772050918525 10383811408405 12460573690086 13544101837050 20767622816810 31151434225215 51919057042025 62302868450430 103838114084050 155757171126075 311514342252150