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211434862113400 = 23521762186724151
BaseRepresentation
bin110000000100110010000011…
…110110010111001001111000
31000201121222100002001221221211
4300010302003312113021320
5210203122044200112100
62025403500145212504
762351443662466552
oct6004620366271170
91021558302057854
10211434862113400
1161408026627422
121b8695ab631134
1390c92b67c7823
143a2d7054144d2
151969d8ca371ba
hexc04c83d97278

211434862113400 has 48 divisors (see below), whose sum is σ = 520502881152240. Its totient is φ = 79599006912000.

The previous prime is 211434862113359. The next prime is 211434862113407. The reversal of 211434862113400 is 4311268434112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211434862113407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31093358676 + ... + 31093365475.

It is an arithmetic number, because the mean of its divisors is an integer number (10843810024005).

Almost surely, 2211434862113400 is an apocalyptic number.

211434862113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211434862113400 is an abundant number, since it is smaller than the sum of its proper divisors (309068019038840).

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

211434862113400 is a wasteful number, since it uses less digits than its factorization.

211434862113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62186724184 (or 62186724175 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 211434862113400 in words is "two hundred eleven trillion, four hundred thirty-four billion, eight hundred sixty-two million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 62186724151 124373448302 248746896604 310933620755 497493793208 621867241510 1057174310567 1243734483020 1554668103775 2114348621134 2487468966040 3109336207550 4228697242268 5285871552835 6218672415100 8457394484536 10571743105670 12437344830200 21143486211340 26429357764175 42286972422680 52858715528350 105717431056700 211434862113400