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401992772841 = 32112192132
BaseRepresentation
bin1011101100110001010…
…00101110110011101001
31102102121120022201102100
411312120220232303221
523041240122212331
6504401204124013
741020520122242
oct5663050566351
91372546281370
10401992772841
11145536493100
1265aaa696609
132bba5454c7a
1415656ad9cc9
15a6cb82eae6
hex5d98a2ece9

401992772841 has 27 divisors (see below), whose sum is σ = 638275190007. Its totient is φ = 243619302960.

The previous prime is 401992772833. The next prime is 401992772861. The reversal of 401992772841 is 148277299104.

The square root of 401992772841 is 634029.

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

401992772841 is a `hidden beast` number, since 4 + 0 + 1 + 99 + 277 + 284 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387973265625 + 14019507216 = 622875^2 + 118404^2 .

It is not a de Polignac number, because 401992772841 - 23 = 401992772833 is a prime.

It is a super-2 number, since 2×4019927728412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401992772801) 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, 20913351 + ... + 20932563.

Almost surely, 2401992772841 is an apocalyptic number.

401992772841 is the 634029-th square number.

401992772841 is the 317015-th centered octagonal number.

It is an amenable number.

401992772841 is a deficient number, since it is larger than the sum of its proper divisors (236282417166).

401992772841 is an frugal number, since it uses more digits than its factorization.

401992772841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38454 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 401992772841 in words is "four hundred one billion, nine hundred ninety-two million, seven hundred seventy-two thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 19213 57639 172917 211343 634029 1902087 2324773 6974319 20922957 369139369 1107418107 3322254321 4060533059 12181599177 36544797531 44665863649 133997590947 401992772841