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200420444142 = 232232925310861
BaseRepresentation
bin1011101010100111111…
…1010100011111101110
3201011022122102110102200
42322221333110133232
511240430113203032
6232023305402330
720323414444452
oct2725177243756
9634278373380
10200420444142
1177aa81300a6
1232a144993a6
1315b9046b0a9
1499b3c88662
15533032547c
hex2ea9fd47ee

200420444142 has 144 divisors (see below), whose sum is σ = 478186776288. Its totient is φ = 60528948480.

The previous prime is 200420444131. The next prime is 200420444153. The reversal of 200420444142 is 241444024002.

200420444142 is a `hidden beast` number, since 200 + 4 + 2 + 0 + 44 + 414 + 2 = 666.

200420444142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200420444131) and next prime (200420444153).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18447792 + ... + 18458652.

It is an arithmetic number, because the mean of its divisors is an integer number (3320741502).

Almost surely, 2200420444142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200420444142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239093388144).

200420444142 is an abundant number, since it is smaller than the sum of its proper divisors (277766332146).

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

200420444142 is a wasteful number, since it uses less digits than its factorization.

200420444142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 200420444142 its reverse (241444024002), we get a palindrome (441864468144).

The spelling of 200420444142 in words is "two hundred billion, four hundred twenty million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 53 58 69 87 106 138 159 174 207 261 318 414 477 522 667 841 954 1219 1334 1537 1682 2001 2438 2523 3074 3657 4002 4611 5046 6003 7314 7569 9222 10861 10971 12006 13833 15138 19343 21722 21942 27666 32583 35351 38686 44573 58029 65166 70702 89146 97749 106053 116058 133719 174087 195498 212106 249803 267438 314969 318159 348174 401157 499606 575633 629938 636318 749409 802314 944907 1025179 1151266 1498818 1726899 1889814 2050358 2248227 2834721 3075537 3453798 4496454 5180697 5669442 6151074 7244287 9134101 9226611 10361394 13239559 14488574 16693357 18268202 18453222 21732861 26479118 27402303 33386714 39718677 43465722 50080071 54804606 65198583 79437354 82206909 100160142 119156031 130397166 150240213 164413818 210084323 238312062 300480426 383947211 420168646 484107353 630252969 767894422 968214706 1151841633 1260505938 1452322059 1890758907 2303683266 2904644118 3455524899 3781517814 4356966177 6911049798 8713932354 11134469119 22268938238 33403407357 66806814714 100210222071 200420444142