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4114425345000 = 23354377413379
BaseRepresentation
bin111011110111110110110…
…111000111001111101000
3112120100001101011111101220
4323313312313013033220
51014402320342020000
612430050234142040
7603154203252045
oct73676667071750
915510041144356
104114425345000
111346a109319a3
125654a0881920
1323acb1090879
141031d41581cc
157205b8461a0
hex3bdf6dc73e8

4114425345000 has 160 divisors (see below), whose sum is σ = 13200857498400. Its totient is φ = 1067526432000.

The previous prime is 4114425344983. The next prime is 4114425345031. The reversal of 4114425345000 is 5435244114.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3151690 + ... + 4261689.

It is an arithmetic number, because the mean of its divisors is an integer number (82505359365).

Almost surely, 24114425345000 is an apocalyptic number.

4114425345000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114425345000 is an abundant number, since it is smaller than the sum of its proper divisors (9086432153400).

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

4114425345000 is a wasteful number, since it uses less digits than its factorization.

4114425345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413445 (or 7413426 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 4114425345000 in words is "four trillion, one hundred fourteen billion, four hundred twenty-five million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 625 740 750 888 925 1000 1110 1250 1480 1500 1850 1875 2220 2500 2775 3000 3700 3750 4440 4625 5000 5550 7400 7500 9250 11100 13875 15000 18500 22200 23125 27750 37000 46250 55500 69375 92500 111000 138750 185000 277500 555000 7413379 14826758 22240137 29653516 37066895 44480274 59307032 74133790 88960548 111200685 148267580 177921096 185334475 222401370 274295023 296535160 370668950 444802740 548590046 556003425 741337900 822885069 889605480 926672375 1097180092 1112006850 1371475115 1482675800 1645770138 1853344750 2194360184 2224013700 2742950230 2780017125 3291540276 3706689500 4114425345 4448027400 4633361875 5485900460 5560034250 6583080552 6857375575 7413379000 8228850690 9266723750 10971800920 11120068500 13714751150 13900085625 16457701380 18533447500 20572126725 22240137000 27429502300 27800171250 32915402760 34286877875 37066895000 41144253450 54859004600 55600342500 68573755750 82288506900 102860633625 111200685000 137147511500 164577013800 171434389375 205721267250 274295023000 342868778750 411442534500 514303168125 685737557500 822885069000 1028606336250 1371475115000 2057212672500 4114425345000