Search a number
-
+
2340213133674 = 23134110738917581
BaseRepresentation
bin100010000011011111100…
…100101001000101101010
322021201111110212201122110
4202003133210221011222
5301320224030234144
64551025025103150
7331034443266243
oct42033744510552
98251443781573
102340213133674
1182252a339659
12319670787ab6
1313c8b164a820
14813a45ddcca
1540d1ac240b9
hex220df92916a

2340213133674 has 128 divisors (see below), whose sum is σ = 5225347895040. Its totient is φ = 694109030400.

The previous prime is 2340213133669. The next prime is 2340213133729. The reversal of 2340213133674 is 4763313120432.

It is a super-2 number, since 2×23402131336742 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133101564 + ... + 133119144.

It is an arithmetic number, because the mean of its divisors is an integer number (40823030430).

Almost surely, 22340213133674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340213133674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612673947520).

2340213133674 is an abundant number, since it is smaller than the sum of its proper divisors (2885134761366).

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

2340213133674 is a wasteful number, since it uses less digits than its factorization.

2340213133674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136.

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 2340213133674 in words is "two trillion, three hundred forty billion, two hundred thirteen million, one hundred thirty-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 107 123 214 246 321 389 533 642 778 1066 1167 1391 1599 2334 2782 3198 4173 4387 5057 8346 8774 10114 13161 15171 15949 17581 26322 30342 31898 35162 41623 47847 52743 57031 83246 95694 105486 114062 124869 171093 207337 228553 249738 342186 414674 457106 541099 622011 685659 720821 1082198 1244022 1371318 1441642 1623297 1706543 1881167 2162463 3246594 3413086 3762334 4324926 5119629 5643501 6839009 9370673 10239258 11287002 13678018 18741346 20517027 22185059 24455171 28112019 41034054 44370118 48910342 56224038 66555177 73365513 77127847 88907117 133110354 146731026 154255694 177814234 231383541 266721351 280399369 462767082 533442702 560798738 731773963 841198107 1002662011 1463547926 1682396214 2005324022 2195321889 3007986033 3645191797 4390643778 6015972066 7290383594 9513061519 10935575391 19026123038 21871150782 28539184557 30002732483 57078369114 60005464966 90008197449 180016394898 390035522279 780071044558 1170106566837 2340213133674