Search a number
-
+
431401120497 = 32523361325367
BaseRepresentation
bin1100100011100011000…
…00101011001011110001
31112020112002022120100200
412101301200223023301
524032002141323442
6530103303105413
743111344010164
oct6216140531361
91466462276320
10431401120497
11156a5775aa56
126b737442269
13318b1084c09
1416c46731adb
15b34d53934c
hex647182b2f1

431401120497 has 24 divisors (see below), whose sum is σ = 624523833024. Its totient is φ = 286960078944.

The previous prime is 431401120481. The next prime is 431401120529. The reversal of 431401120497 is 794021104134.

431401120497 is a `hidden beast` number, since 4 + 3 + 1 + 40 + 1 + 120 + 497 = 666.

It is not a de Polignac number, because 431401120497 - 24 = 431401120481 is a prime.

It is a super-2 number, since 2×4314011204972 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431401120457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16993708 + ... + 17019074.

It is an arithmetic number, because the mean of its divisors is an integer number (26021826376).

Almost surely, 2431401120497 is an apocalyptic number.

It is an amenable number.

431401120497 is a deficient number, since it is larger than the sum of its proper divisors (193122712527).

431401120497 is a wasteful number, since it uses less digits than its factorization.

431401120497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29509 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 431401120497 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty thousand, four hundred ninety-seven".

Divisors: 1 3 9 523 1569 3613 4707 10839 25367 32517 76101 228303 1889599 5668797 13266941 17006391 39800823 91650971 119402469 274952913 824858739 47933457833 143800373499 431401120497