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214311442420 = 225711489101359
BaseRepresentation
bin1100011110010111110…
…1010001011111110100
3202111011201210021202101
43013211331101133310
512002402212124140
6242241525551444
721324560126635
oct3074575213764
9674151707671
10214311442420
1182986249769
1235650575584
13172953040ba
14a530aa988c
155894ac699a
hex31e5f517f4

214311442420 has 48 divisors (see below), whose sum is σ = 456703833600. Its totient is φ = 84459594240.

The previous prime is 214311442417. The next prime is 214311442421. The reversal of 214311442420 is 24244113412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214311442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2063701 + ... + 2165059.

It is an arithmetic number, because the mean of its divisors is an integer number (9514663200).

Almost surely, 2214311442420 is an apocalyptic number.

214311442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214311442420 is an abundant number, since it is smaller than the sum of its proper divisors (242392391180).

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

214311442420 is a wasteful number, since it uses less digits than its factorization.

214311442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102928 (or 102926 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214311442420 its reverse (24244113412), we get a palindrome (238555555832).

The spelling of 214311442420 in words is "two hundred fourteen billion, three hundred eleven million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 1489 2978 5956 7445 14890 29780 101359 105719 202718 211438 405436 422876 506795 528595 1013590 1057190 2027180 2114380 7196489 14392978 28785956 35982445 71964890 143929780 150923551 301847102 603694204 754617755 1509235510 3018471020 10715572121 21431144242 42862288484 53577860605 107155721210 214311442420