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202670216140441 = 72919222132
BaseRepresentation
bin101110000101001111010110…
…001111010101011010011001
3222120121002020211101110211211
4232011033112033111122121
5203031022100312443231
61555013224552223121
760455303614110400
oct5605172617253231
9876532224343754
10202670216140441
1159638a57456265
121a892a1939aaa1
138911947613b3a
14380940dd54637
151866db6491eb1
hexb853d63d5699

202670216140441 has 27 divisors (see below), whose sum is σ = 236122747062111. Its totient is φ = 173449886322384.

The previous prime is 202670216140421. The next prime is 202670216140517. The reversal of 202670216140441 is 144041612076202.

The square root of 202670216140441 is 14236229.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 201207558105225 + 1462658035216 = 14184765^2 + 1209404^2 .

It is not a de Polignac number, because 202670216140441 - 25 = 202670216140409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202670216140394 and 202670216140403.

It is not an unprimeable number, because it can be changed into a prime (202670216140421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91581660051 + ... + 91581662263.

Almost surely, 2202670216140441 is an apocalyptic number.

202670216140441 is the 14236229-th square number.

202670216140441 is the 7118115-th centered octagonal number.

It is an amenable number.

202670216140441 is a deficient number, since it is larger than the sum of its proper divisors (33452530921670).

202670216140441 is an frugal number, since it uses more digits than its factorization.

202670216140441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 202670216140441 in words is "two hundred two trillion, six hundred seventy billion, two hundred sixteen million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 7 49 919 2213 6433 15491 45031 108437 844561 2033747 4897369 5911927 14236229 34281583 41383489 99653603 239971081 1869013493 4500682111 13083094451 31504774777 91581661157 220533423439 4136126860009 28952888020063 202670216140441