Search a number
-
+
71742507441 = 3113739581443
BaseRepresentation
bin100001011010000101…
…1111100100110110001
320212011212011222201020
41002310023330212301
52133412040214231
652542534530053
75116563152163
oct1026413744661
9225155158636
1071742507441
1128475858770
1211aa2506929
1369c4457b47
143688204933
151ced5ae396
hex10b42fc9b1

71742507441 has 16 divisors (see below), whose sum is σ = 104380826880. Its totient is φ = 43468603920.

The previous prime is 71742507427. The next prime is 71742507461. The reversal of 71742507441 is 14470524717.

It is a happy number.

It is not a de Polignac number, because 71742507441 - 210 = 71742506417 is a prime.

It is a super-3 number, since 3×717425074413 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71742507393 and 71742507402.

It is not an unprimeable number, because it can be changed into a prime (71742507461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167335 + ... + 414108.

It is an arithmetic number, because the mean of its divisors is an integer number (6523801680).

Almost surely, 271742507441 is an apocalyptic number.

It is an amenable number.

71742507441 is a deficient number, since it is larger than the sum of its proper divisors (32638319439).

71742507441 is a wasteful number, since it uses less digits than its factorization.

71742507441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585196.

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 71742507441 in words is "seventy-one billion, seven hundred forty-two million, five hundred seven thousand, four hundred forty-one".

Divisors: 1 3 11 33 3739 11217 41129 123387 581443 1744329 6395873 19187619 2174015377 6522046131 23914169147 71742507441