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214234310302040 = 23577310481130641
BaseRepresentation
bin110000101101100001001111…
…111101101101100101011000
31001002112121012102201122000202
4300231201033331231211120
5211040003331414131130
62035345514455321332
763060626631462320
oct6055411775554530
91032477172648022
10214234310302040
11622972960a7956
1220040065080248
1392702938b2762
143ac8dd2c28280
1519b7ad5657145
hexc2d84ff6d958

214234310302040 has 64 divisors (see below), whose sum is σ = 558434640605760. Its totient is φ = 72445574983680.

The previous prime is 214234310301997. The next prime is 214234310302091. The reversal of 214234310302040 is 40203013432412.

It is a junction number, because it is equal to n+sod(n) for n = 214234310301994 and 214234310302012.

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, 5240544881 + ... + 5240585760.

It is an arithmetic number, because the mean of its divisors is an integer number (8725541259465).

Almost surely, 2214234310302040 is an apocalyptic number.

214234310302040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214234310302040 is an abundant number, since it is smaller than the sum of its proper divisors (344200330303720).

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

214234310302040 is a wasteful number, since it uses less digits than its factorization.

214234310302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481130732 (or 10481130728 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 214234310302040 its reverse (40203013432412), we get a palindrome (254437323734452).

The spelling of 214234310302040 in words is "two hundred fourteen trillion, two hundred thirty-four billion, three hundred ten million, three hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 20440 10481130641 20962261282 41924522564 52405653205 73367914487 83849045128 104811306410 146735828974 209622612820 293471657948 366839572435 419245225640 586943315896 733679144870 765122536793 1467358289740 1530245073586 2934716579480 3060490147172 3825612683965 5355857757551 6120980294344 7651225367930 10711715515102 15302450735860 21423431030204 26779288787755 30604901471720 42846862060408 53558577575510 107117155151020 214234310302040