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214214074992 = 24323315777789
BaseRepresentation
bin1100011110000000100…
…1110110001001110000
3202110220221120111202100
43013200021312021300
512002202300344432
6242224131020400
721322265410611
oct3074011661160
9673827514670
10214214074992
1182936296115
1235623a3a700
131727b0a2938
14a521ba1c08
15588b29207c
hex31e0276270

214214074992 has 120 divisors (see below), whose sum is σ = 602432545520. Its totient is φ = 71056465920.

The previous prime is 214214074979. The next prime is 214214074993. The reversal of 214214074992 is 299470412412.

214214074992 is a `hidden beast` number, since 2 + 14 + 2 + 140 + 7 + 499 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214214074993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27498234 + ... + 27506022.

Almost surely, 2214214074992 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 214214074992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301216272760).

214214074992 is an abundant number, since it is smaller than the sum of its proper divisors (388218470528).

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

214214074992 is a wasteful number, since it uses less digits than its factorization.

214214074992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 214214074992 in words is "two hundred fourteen billion, two hundred fourteen million, seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 577 662 993 1154 1324 1731 1986 2308 2648 2979 3462 3972 4616 5193 5296 5958 6924 7789 7944 9232 10386 11916 13848 15578 15888 20772 23367 23832 27696 31156 41544 46734 47664 62312 70101 83088 93468 124624 140202 186936 190987 280404 373872 381974 560808 572961 763948 1121616 1145922 1527896 1718883 2291844 2578159 3055792 3437766 4494253 4583688 5156318 6875532 7734477 8988506 9167376 10312636 13482759 13751064 15468954 17977012 20625272 23203431 26965518 27502128 30937908 35954024 40448277 41250544 46406862 53931036 61875816 71908048 80896554 92813724 107862072 123751632 161793108 185627448 215724144 323586216 371254896 647172432 1487597743 2975195486 4462793229 5950390972 8925586458 11900781944 13388379687 17851172916 23801563888 26776759374 35702345832 53553518748 71404691664 107107037496 214214074992