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210423014400340 = 22572732941333721
BaseRepresentation
bin101111110110000011101101…
…000001101010000101010100
31000121001020120200002100112101
4233312003231001222011110
5210040032313141302330
62023310555345131444
762215363313030200
oct5766035501520524
91017036520070471
10210423014400340
1161057998a04335
121b725481929b84
139054a60ab72b1
1439d67576b1b00
15194d8bb0d24ca
hexbf60ed06a154

210423014400340 has 72 divisors (see below), whose sum is σ = 521074916854632. Its totient is φ = 71156745354240.

The previous prime is 210423014400329. The next prime is 210423014400349. The reversal of 210423014400340 is 43004410324012.

It can be written as a sum of positive squares in 4 ways, for example, as 82796241371536 + 127626773028804 = 9099244^2 + 11297202^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 210423014400299 and 210423014400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210423014400349) 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 23 ways as a sum of consecutive naturals, for example, 1470595321 + ... + 1470738400.

It is an arithmetic number, because the mean of its divisors is an integer number (7237151622981).

Almost surely, 2210423014400340 is an apocalyptic number.

210423014400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210423014400340 is an abundant number, since it is smaller than the sum of its proper divisors (310651902454292).

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

210423014400340 is a wasteful number, since it uses less digits than its factorization.

210423014400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941333817 (or 2941333808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 210423014400340 its reverse (43004410324012), we get a palindrome (253427424724352).

The spelling of 210423014400340 in words is "two hundred ten trillion, four hundred twenty-three billion, fourteen million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 35770 71540 2941333721 5882667442 11765334884 14706668605 20589336047 29413337210 41178672094 58826674420 82357344188 102946680235 144125352329 205893360470 214717361633 288250704658 411786720940 429434723266 576501409316 720626761645 858869446532 1073586808165 1441253523290 1503021531431 2147173616330 2882507046580 3006043062862 4294347232660 6012086125724 7515107657155 10521150720017 15030215314310 21042301440034 30060430628620 42084602880068 52605753600085 105211507200170 210423014400340