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214342377920 = 26511292099749
BaseRepresentation
bin1100011110011111001…
…1010010000111000000
3202111020212222222021122
43013213303102013000
512002433122043140
6242244553011412
721325414102616
oct3074763220700
9674225888248
10214342377920
11829a1758aa0
123565a9b3b68
131729b845b28
14a534c3d6b6
155897687ab5
hex31e7cd21c0

214342377920 has 112 divisors (see below), whose sum is σ = 576003420000. Its totient is φ = 75254968320.

The previous prime is 214342377919. The next prime is 214342377961. The reversal of 214342377920 is 29773243412.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947795 + ... + 1151954.

Almost surely, 2214342377920 is an apocalyptic number.

214342377920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214342377920 is an abundant number, since it is smaller than the sum of its proper divisors (361661042080).

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

214342377920 is a wasteful number, since it uses less digits than its factorization.

214342377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099806 (or 2099796 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 214342377920 in words is "two hundred fourteen billion, three hundred forty-two million, three hundred seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 3190 3520 4640 5104 6380 9280 10208 12760 20416 25520 51040 102080 2099749 4199498 8398996 10498745 16797992 20997490 23097239 33595984 41994980 46194478 60892721 67191968 83989960 92388956 115486195 121785442 134383936 167979920 184777912 230972390 243570884 304463605 335959840 369555824 461944780 487141768 608927210 669819931 671919680 739111648 923889560 974283536 1217854420 1339639862 1478223296 1847779120 1948567072 2435708840 2679279724 3349099655 3695558240 3897134144 4871417680 5358559448 6698199310 7391116480 9742835360 10717118896 13396398620 19485670720 21434237792 26792797240 42868475584 53585594480 107171188960 214342377920