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34403331041112 = 233118231009915679
BaseRepresentation
bin1111101001010001001100…
…10100110110011101011000
311111210221000021220020210010
413310220212110312131120
514002131010221303422
6201100401101121520
710150362420601425
oct764504624663530
9144727007806703
1034403331041112
11aa64409530560
123a37719b592a0
1316272b2a06157
1486d1b7028d4c
153e9d99d12b0c
hex1f4a26536758

34403331041112 has 128 divisors (see below), whose sum is σ = 93956567040000. Its totient is φ = 10410889357440.

The previous prime is 34403331041033. The next prime is 34403331041161. The reversal of 34403331041112 is 21114013330443.

It is a self number, because there is not a number n which added to its sum of digits gives 34403331041112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194222089 + ... + 2194237767.

It is an arithmetic number, because the mean of its divisors is an integer number (734035680000).

Almost surely, 234403331041112 is an apocalyptic number.

It is an amenable number.

34403331041112 is an abundant number, since it is smaller than the sum of its proper divisors (59553235998888).

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

34403331041112 is a wasteful number, since it uses less digits than its factorization.

34403331041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26621 (or 26617 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34403331041112 its reverse (21114013330443), we get a palindrome (55517344371555).

The spelling of 34403331041112 in words is "thirty-four trillion, four hundred three billion, three hundred thirty-one million, forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 823 1646 2469 3292 4938 6584 9053 9876 10099 15679 18106 19752 20198 27159 30297 31358 36212 40396 47037 54318 60594 62716 72424 80792 94074 108636 111089 121188 125432 172469 188148 217272 222178 242376 333267 344938 376296 444356 517407 666534 689876 888712 1034814 1333068 1379752 2069628 2666136 4139256 8311477 12903817 16622954 24934431 25807634 33245908 38711451 49868862 51615268 66491816 77422902 91426247 99737724 103230536 141941987 154845804 158342221 182852494 199475448 274278741 283883974 309691608 316684442 365704988 425825961 475026663 548557482 567767948 633368884 731409976 851651922 950053326 1097114964 1135535896 1266737768 1703303844 1741764431 1900106652 2194229928 3406607688 3483528862 3800213304 5225293293 6967057724 10450586586 13934115448 20901173172 41802346344 130315647883 260631295766 390946943649 521262591532 781893887298 1042525183064 1433472126713 1563787774596 2866944253426 3127575549192 4300416380139 5733888506852 8600832760278 11467777013704 17201665520556 34403331041112