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4103040403014 = 2377313725138917
BaseRepresentation
bin111011101101010000010…
…001000000011001000110
3112112020122221101112000220
4323231100101000121012
51014211011320344024
612420524415245210
7602302110661260
oct73552021003106
915466587345026
104103040403014
1113420a9383533
12563243b19806
13239bb84977c7
141028340c2b30
1571ae20b9e79
hex3bb50440646

4103040403014 has 128 divisors (see below), whose sum is σ = 9614641462272. Its totient is φ = 1143196416000.

The previous prime is 4103040403003. The next prime is 4103040403019.

4103040403014 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103040403019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105411084 + ... + 105450000.

It is an arithmetic number, because the mean of its divisors is an integer number (75114386424).

Almost surely, 24103040403014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103040403014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807320731136).

4103040403014 is an abundant number, since it is smaller than the sum of its proper divisors (5511601059258).

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

4103040403014 is a wasteful number, since it uses less digits than its factorization.

4103040403014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39390.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4103040 and 403014, that added together give a palindrome (4506054).

The spelling of 4103040403014 in words is "four trillion, one hundred three billion, forty million, four hundred three thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 73 137 146 219 251 274 411 438 502 511 753 822 959 1022 1506 1533 1757 1918 2877 3066 3514 5271 5754 10001 10542 18323 20002 30003 34387 36646 38917 54969 60006 68774 70007 77834 103161 109938 116751 128261 140014 206322 210021 233502 240709 256522 272419 384783 420042 481418 544838 722127 769566 817257 1444254 1634514 2510251 2840941 5020502 5331629 5681882 7530753 8522823 9768167 10663258 15061506 15994887 17045646 17571757 19536334 19886587 29304501 31989774 35143514 37321403 39773174 52715271 58609002 59659761 68377169 74642806 105430542 111964209 119319522 136754338 205131507 223928418 389208917 410263014 713076191 778417834 1167626751 1338238879 1426152382 2139228573 2335253502 2676477758 2724462419 4014716637 4278457146 4991533337 5448924838 8029433274 8173387257 9367672153 9983066674 14974600011 16346774514 18735344306 28103016459 29949200022 56206032918 97691438167 195382876334 293074314501 586148629002 683840067169 1367680134338 2051520201507 4103040403014