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2114377440 = 25357289897
BaseRepresentation
bin111111000000110…
…1101011011100000
312110100120111120120
41332001231123200
513312240034230
6545450240240
7103252624500
oct17601553340
95410514516
102114377440
1199556907a
124b0126080
13279083016
14160b4da00
15c5957310
hex7e06d6e0

2114377440 has 144 divisors (see below), whose sum is σ = 7747769232. Its totient is φ = 483280896.

The previous prime is 2114377427. The next prime is 2114377451. The reversal of 2114377440 is 447734112.

2114377440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21429 + ... + 68468.

It is an arithmetic number, because the mean of its divisors is an integer number (53803953).

Almost surely, 22114377440 is an apocalyptic number.

2114377440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114377440 is an abundant number, since it is smaller than the sum of its proper divisors (5633391792).

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

2114377440 is a wasteful number, since it uses less digits than its factorization.

2114377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89929 (or 89914 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2114377440 is about 45982.3600960194. The cubic root of 2114377440 is about 1283.4949732122.

The spelling of 2114377440 in words is "two billion, one hundred fourteen million, three hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 89897 179794 269691 359588 449485 539382 629279 719176 898970 1078764 1258558 1348455 1438352 1797940 1887837 2157528 2517116 2696910 2876704 3146395 3595880 3775674 4315056 4404953 5034232 5393820 6292790 7191760 7551348 8630112 8809906 9439185 10068464 10787640 12585580 13214859 14383520 15102696 17619812 18878370 20136928 21575280 22024765 25171160 26429718 30205392 35239624 37756740 43150560 44049530 50342320 52859436 60410784 66074295 70479248 75513480 88099060 100684640 105718872 132148590 140958496 151026960 176198120 211437744 264297180 302053920 352396240 422875488 528594360 704792480 1057188720 2114377440