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104340044441334 = 2313191187255123251
BaseRepresentation
bin10111101110010110001111…
…010010001110011011110110
3111200102210220002121122111210
4113232112033102032123312
5102134001402334110314
61005525053225142250
730656214366205302
oct2756261722163366
9450383802548453
10104340044441334
1130278400a47559
12b85197192a986
13462b2bb0b2a80
141baa12970cd02
15c0e1cd79d559
hex5ee58f48e6f6

104340044441334 has 128 divisors (see below), whose sum is σ = 236862714654720. Its totient is φ = 30376069200000.

The previous prime is 104340044441327. The next prime is 104340044441341. The reversal of 104340044441334 is 433144440043401.

It is an interprime number because it is at equal distance from previous prime (104340044441327) and next prime (104340044441341).

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

It is a junction number, because it is equal to n+sod(n) for n = 104340044441292 and 104340044441301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4487539209 + ... + 4487562459.

It is an arithmetic number, because the mean of its divisors is an integer number (1850489958240).

Almost surely, 2104340044441334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104340044441334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118431357327360).

104340044441334 is an abundant number, since it is smaller than the sum of its proper divisors (132522670213386).

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

104340044441334 is a wasteful number, since it uses less digits than its factorization.

104340044441334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27026.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 104340044441334 its reverse (433144440043401), we get a palindrome (537484484484735).

The spelling of 104340044441334 in words is "one hundred four trillion, three hundred forty billion, forty-four million, four hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1187 1482 2374 2551 3561 5102 7122 7653 15306 15431 22553 23251 30862 33163 45106 46293 46502 48469 66326 67659 69753 92586 96938 99489 135318 139506 145407 198978 290814 293189 302263 441769 586378 604526 630097 879567 883538 906789 1260194 1325307 1759134 1813578 1890291 2650614 3028037 3780582 5742997 6056074 9084111 11485994 17228991 18168222 27598937 34457982 39364481 55197874 57532703 59313301 78728962 82796811 115065406 118093443 118626602 165593622 172598109 177939903 236186886 345196218 355879806 358786181 524379803 717572362 747925139 771072913 1048759606 1076358543 1126952719 1495850278 1542145826 1573139409 2152717086 2243775417 2253905438 2313218739 3146278818 3380858157 4487550834 4626437478 6761716314 6816937439 13633874878 14650385347 20450812317 29300770694 40901624634 43951156041 70404888287 87902312082 140809776574 211214664861 422429329722 915263547731 1337692877453 1830527095462 2675385754906 2745790643193 4013078632359 5491581286386 8026157264718 17390007406889 34780014813778 52170022220667 104340044441334