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4114030343304 = 2337103683348097
BaseRepresentation
bin111011110111011111010…
…100010011010010001000
3112120022000211220022221110
4323313133110103102020
51014401013231441204
612425543124010320
7603141335635440
oct73673724232210
915508024808843
104114030343304
111346828970312
125653b05309a0
1323ac4a2ac35b
141031978d5120
1572036d1d889
hex3bddf513488

4114030343304 has 128 divisors (see below), whose sum is σ = 11885903677440. Its totient is φ = 1162317606912.

The previous prime is 4114030343303. The next prime is 4114030343321. The reversal of 4114030343304 is 4033430304114.

It is not an unprimeable number, because it can be changed into a prime (4114030343303) by changing a digit.

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, 11644584 + ... + 11992680.

It is an arithmetic number, because the mean of its divisors is an integer number (92858622480).

Almost surely, 24114030343304 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 4114030343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942951838720).

4114030343304 is an abundant number, since it is smaller than the sum of its proper divisors (7771873334136).

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

4114030343304 is a wasteful number, since it uses less digits than its factorization.

4114030343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348899 (or 348895 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4114030343304 its reverse (4033430304114), we get a palindrome (8147460647418).

The spelling of 4114030343304 in words is "four trillion, one hundred fourteen billion, thirty million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 683 721 824 1236 1366 1442 2049 2163 2472 2732 2884 4098 4326 4781 5464 5768 8196 8652 9562 14343 16392 17304 19124 28686 38248 57372 70349 114744 140698 211047 281396 348097 422094 492443 562792 696194 844188 984886 1044291 1392388 1477329 1688376 1969772 2088582 2436679 2784776 2954658 3939544 4177164 4873358 5909316 7310037 8354328 9746716 11818632 14620074 19493432 29240148 35853991 58480296 71707982 107561973 143415964 215123946 237750251 250977937 286831928 430247892 475500502 501955874 713250753 752933811 860495784 951001004 1003911748 1426501506 1505867622 1664251757 1902002008 2007823496 2853003012 3011735244 3328503514 4992755271 5706006024 6023470488 6657007028 9985510542 13314014056 19971021084 24488275853 39942042168 48976551706 73464827559 97953103412 146929655118 171417930971 195906206824 293859310236 342835861942 514253792913 587718620472 685671723884 1028507585826 1371343447768 2057015171652 4114030343304