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2236403412126 = 2321323241440651
BaseRepresentation
bin100000100010110100000…
…001111110110010011110
321220210112210120110220200
4200202310001332302132
5243120123233142001
64431220050324330
7320401106231652
oct40426401766236
97823483513820
102236403412126
117924a9472354
1230151ab896a6
13132b7977baa0
147a3575daa62
153d2922ed086
hex208b407ec9e

2236403412126 has 144 divisors (see below), whose sum is σ = 5588082510192. Its totient is φ = 642150432000.

The previous prime is 2236403412107. The next prime is 2236403412127. The reversal of 2236403412126 is 6212143046322.

2236403412126 is a `hidden beast` number, since 2 + 2 + 3 + 640 + 3 + 4 + 1 + 2 + 1 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236403412127) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4854901 + ... + 5295551.

It is an arithmetic number, because the mean of its divisors is an integer number (38806128543).

Almost surely, 22236403412126 is an apocalyptic number.

2236403412126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2236403412126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794041255096).

2236403412126 is an abundant number, since it is smaller than the sum of its proper divisors (3351679098066).

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

2236403412126 is a wasteful number, since it uses less digits than its factorization.

2236403412126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440759 (or 440733 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 2236403412126 its reverse (6212143046322), we get a palindrome (8448546458448).

The spelling of 2236403412126 in words is "two trillion, two hundred thirty-six billion, four hundred three million, four hundred twelve thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 41 46 69 78 82 117 123 138 207 234 246 299 369 414 529 533 598 738 897 943 1058 1066 1587 1599 1794 1886 2691 2829 3174 3198 4761 4797 5382 5658 6877 8487 9522 9594 12259 13754 16974 20631 21689 24518 36777 41262 43378 61893 65067 73554 110331 123786 130134 195201 220662 281957 390402 440651 563914 845871 881302 1321953 1691742 2537613 2643906 3965859 5075226 5728463 7931718 10134973 11456926 17185389 18066691 20269946 30404919 34370778 36133382 51556167 54200073 60809838 91214757 103112334 108400146 131754649 162600219 182429514 233104379 234866983 263509298 325200438 395263947 415533893 466208758 469733966 699313137 704600949 790527894 831067786 1185791841 1246601679 1398626274 1409201898 2097939411 2113802847 2371583682 2493203358 3030356927 3739805037 4195878822 4227605694 5401940609 6060713854 7479610074 9091070781 9557279539 10803881218 16205821827 18182141562 19114559078 27273212343 28671838617 32411643654 48617465481 54546424686 57343677234 86015515851 97234930962 124244634007 172031031702 248489268014 372733902021 745467804042 1118201706063 2236403412126