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2114120234400 = 253521316724301
BaseRepresentation
bin11110110000111011011…
…000101011010110100000
321111002220200012102101020
4132300323120223112200
5234114204240000100
64255114033405440
7305511604330506
oct36607330532640
97432820172336
102114120234400
11745658836a99
122a1892709880
1312448c55c4a5
1474476d64676
1539ed6b9a5a0
hex1ec3b62b5a0

2114120234400 has 144 divisors (see below), whose sum is σ = 6933992633568. Its totient is φ = 559461760000.

The previous prime is 2114120234377. The next prime is 2114120234441. The reversal of 2114120234400 is 44320214112.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3047751 + ... + 3676550.

It is an arithmetic number, because the mean of its divisors is an integer number (48152726622).

Almost surely, 22114120234400 is an apocalyptic number.

2114120234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114120234400 is an abundant number, since it is smaller than the sum of its proper divisors (4819872399168).

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

2114120234400 is a wasteful number, since it uses less digits than its factorization.

2114120234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724455 (or 6724442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2114120234400 its reverse (44320214112), we get a palindrome (2158440448512).

The spelling of 2114120234400 in words is "two trillion, one hundred fourteen billion, one hundred twenty million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 131 150 160 200 240 262 300 393 400 480 524 600 655 786 800 1048 1200 1310 1572 1965 2096 2400 2620 3144 3275 3930 4192 5240 6288 6550 7860 9825 10480 12576 13100 15720 19650 20960 26200 31440 39300 52400 62880 78600 104800 157200 314400 6724301 13448602 20172903 26897204 33621505 40345806 53794408 67243010 80691612 100864515 107588816 134486020 161383224 168107525 201729030 215177632 268972040 322766448 336215050 403458060 504322575 537944080 645532896 672430100 806916120 880883431 1008645150 1075888160 1344860200 1613832240 1761766862 2017290300 2642650293 2689720400 3227664480 3523533724 4034580600 4404417155 5285300586 5379440800 7047067448 8069161200 8808834310 10570601172 13213251465 14094134896 16138322400 17617668620 21141202344 22022085775 26426502930 28188269792 35235337240 42282404688 44044171550 52853005860 66066257325 70470674480 84564809376 88088343100 105706011720 132132514650 140941348960 176176686200 211412023440 264265029300 352353372400 422824046880 528530058600 704706744800 1057060117200 2114120234400