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1214533013420 = 2251973367119299
BaseRepresentation
bin10001101011000111110…
…011110000111110101100
311022002220220010200111202
4101223013303300332230
5124344330422412140
62325540533305032
7153514155164366
oct21530763607654
94262826120452
101214533013420
11429098250191
12177474795178
138a6b746a42c
1442ad870bd36
15218d5a08915
hex11ac7cf0fac

1214533013420 has 96 divisors (see below), whose sum is σ = 2728973184000. Its totient is φ = 452698689024.

The previous prime is 1214533013399. The next prime is 1214533013437. The reversal of 1214533013420 is 243103354121.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10120931 + ... + 10240229.

It is an arithmetic number, because the mean of its divisors is an integer number (28426804000).

Almost surely, 21214533013420 is an apocalyptic number.

1214533013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214533013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364486592000).

1214533013420 is an abundant number, since it is smaller than the sum of its proper divisors (1514440170580).

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

1214533013420 is a wasteful number, since it uses less digits than its factorization.

1214533013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119767 (or 119765 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1214533013420 its reverse (243103354121), we get a palindrome (1457636367541).

The spelling of 1214533013420 in words is "one trillion, two hundred fourteen billion, five hundred thirty-three million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 367 380 730 734 1387 1460 1468 1835 2774 3670 5548 6935 6973 7340 13870 13946 26791 27740 27892 34865 53582 69730 107164 119299 133955 139460 238598 267910 477196 509029 535820 596495 1018058 1192990 2036116 2266681 2385980 2545145 4533362 5090290 8708827 9066724 10180580 11333405 17417654 22666810 34835308 43544135 43782733 45333620 87088270 87565466 165467713 174176540 175130932 218913665 330935426 437827330 661870852 827338565 831871927 875654660 1654677130 1663743854 3196139509 3309354260 3327487708 4159359635 6392279018 8318719270 12784558036 15980697545 16637438540 31961395090 60726650671 63922790180 121453301342 242906602684 303633253355 607266506710 1214533013420