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214022231040 = 2103513933739
BaseRepresentation
bin1100011101010010111…
…0000001010000000000
3202110102120120211022210
43013110232001100000
512001304142343130
6242153115102120
721314445643032
oct3072456012000
9673376524283
10214022231040
1182847a739a2
123558b741940
131724a412ac7
14a504503c52
1558794e95b0
hex31d4b81400

214022231040 has 88 divisors (see below), whose sum is σ = 684536778720. Its totient is φ = 57072590848.

The previous prime is 214022231011. The next prime is 214022231161. The reversal of 214022231040 is 40132220412.

It is a junction number, because it is equal to n+sod(n) for n = 214022230998 and 214022231016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6951510 + ... + 6982229.

Almost surely, 2214022231040 is an apocalyptic number.

214022231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214022231040 is an abundant number, since it is smaller than the sum of its proper divisors (470514547680).

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

214022231040 is a wasteful number, since it uses less digits than its factorization.

214022231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933767 (or 13933749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214022231040 its reverse (40132220412), we get a palindrome (254154451452).

The spelling of 214022231040 in words is "two hundred fourteen billion, twenty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 13933739 27867478 41801217 55734956 69668695 83602434 111469912 139337390 167204868 209006085 222939824 278674780 334409736 418012170 445879648 557349560 668819472 836024340 891759296 1114699120 1337638944 1672048680 1783518592 2229398240 2675277888 3344097360 3567037184 4458796480 5350555776 6688194720 7134074368 8917592960 10701111552 13376389440 14268148736 17835185920 21402223104 26752778880 35670371840 42804446208 53505557760 71340743680 107011115520 214022231040