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202341241002144 = 25310915981323009
BaseRepresentation
bin101110000000011100111101…
…110010110001100010100000
3222112102122002222121220200110
4232000130331302301202200
5203010124330144032034
61554202141033251320
760422446402425126
oct5600347562614240
9875378088556613
10202341241002144
115952149057a782
121a83b108263b40
1388b990a8535aa
1437d7522947916
15185d56014bde9
hexb8073dcb18a0

202341241002144 has 96 divisors (see below), whose sum is σ = 531723133730880. Its totient is φ = 67373783859200.

The previous prime is 202341241002137. The next prime is 202341241002161. The reversal of 202341241002144 is 441200142143202.

It is a tau number, because it is divible by the number of its divisors (96).

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, 626264512 + ... + 626587520.

It is an arithmetic number, because the mean of its divisors is an integer number (5538782643030).

Almost surely, 2202341241002144 is an apocalyptic number.

202341241002144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202341241002144 is an abundant number, since it is smaller than the sum of its proper divisors (329381892728736).

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

202341241002144 is a wasteful number, since it uses less digits than its factorization.

202341241002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330094 (or 330086 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 202341241002144 its reverse (441200142143202), we get a palindrome (643541383145346).

The spelling of 202341241002144 in words is "two hundred two trillion, three hundred forty-one billion, two hundred forty-one million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1091 2182 3273 4364 5981 6546 8728 11962 13092 17456 17943 23924 26184 34912 35886 47848 52368 71772 95696 104736 143544 191392 287088 323009 574176 646018 969027 1292036 1938054 2584072 3876108 5168144 6525271 7752216 10336288 13050542 15504432 19575813 26101084 31008864 39151626 52202168 78303252 104404336 156606504 208808672 313213008 352402819 626426016 704805638 1057208457 1409611276 1931916829 2114416914 2819222552 3863833658 4228833828 5638445104 5795750487 7727667316 8457667656 11276890208 11591500974 15455334632 16915335312 23183001948 30910669264 33830670624 46366003896 61821338528 92732007792 185464015584 2107721260439 4215442520878 6323163781317 8430885041756 12646327562634 16861770083512 25292655125268 33723540167024 50585310250536 67447080334048 101170620501072 202341241002144