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340001431211112 = 233114433067947893
BaseRepresentation
bin100110101001110101100000…
…0100001111100110001101000
31122120211211010022221122201120
41031103223000201330301220
5324031040412342223422
63203042300132215240
7131421202264611006
oct11523530041746150
91576754108848646
10340001431211112
11993758851106a0
123217267b46a520
1311793cc7358358
145dd622b029a76
15294933e03845c
hex1353ac087cc68

340001431211112 has 128 divisors (see below), whose sum is σ = 929673809026560. Its totient is φ = 102764535793920.

The previous prime is 340001431211063. The next prime is 340001431211149. The reversal of 340001431211112 is 211112134100043.

It is a super-2 number, since 2×3400014312111122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358217838 + ... + 359165730.

It is an arithmetic number, because the mean of its divisors is an integer number (7263076633020).

Almost surely, 2340001431211112 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 340001431211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464836904513280).

340001431211112 is an abundant number, since it is smaller than the sum of its proper divisors (589672377815448).

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

340001431211112 is a wasteful number, since it uses less digits than its factorization.

340001431211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951423 (or 951419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 340001431211112 its reverse (211112134100043), we get a palindrome (551113565311155).

The spelling of 340001431211112 in words is "three hundred forty trillion, one billion, four hundred thirty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 443 886 1329 1772 2658 3067 3544 4873 5316 6134 9201 9746 10632 12268 14619 18402 19492 24536 29238 33737 36804 38984 58476 67474 73608 101211 116952 134948 202422 269896 404844 809688 947893 1358681 1895786 2717362 2843679 3791572 4076043 5434724 5687358 7583144 8152086 10426823 10869448 11374716 14945491 16304172 20853646 22749432 29890982 31280469 32608344 41707292 44836473 59781964 62560938 83414584 89672946 119563928 125121876 179345892 250243752 358691784 419916599 839833198 1259749797 1679666396 2519499594 2907187831 3359332792 4619082589 5038999188 5814375662 8721563493 9238165178 10077998376 11628751324 13857247767 17443126986 18476330356 23257502648 27714495534 31979066141 34886253972 36952660712 55428991068 63958132282 69772507944 95937198423 110857982136 127916264564 191874396846 255832529128 383748793692 767497587384 1287884209133 2575768418266 3863652627399 5151536836532 7727305254798 10303073673064 14166726300463 15454610509596 28333452600926 30909221019192 42500178901389 56666905201852 85000357802778 113333810403704 170000715605556 340001431211112