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40772304182181 = 31113373925418651
BaseRepresentation
bin10010100010101000010101…
…01101010001101110100101
312100100210102222111102122210
421101110022231101232211
520321003134332312211
6222414312111114033
711405462464220145
oct1121241255215645
9170323388442583
1040772304182181
1111a9a489862a30
1246a5b42212919
131999a72659950
14a0d566432925
154aa8ab8309a6
hex25150ab51ba5

40772304182181 has 32 divisors (see below), whose sum is σ = 63884189698560. Its totient is φ = 22803579288000.

The previous prime is 40772304182179. The next prime is 40772304182243. The reversal of 40772304182181 is 18128140327704.

It is not a de Polignac number, because 40772304182181 - 21 = 40772304182179 is a prime.

It is a super-3 number, since 3×407723041821813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40772304182181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40772304182111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11105295 + ... + 14313356.

It is an arithmetic number, because the mean of its divisors is an integer number (1996380928080).

Almost surely, 240772304182181 is an apocalyptic number.

It is an amenable number.

40772304182181 is a deficient number, since it is larger than the sum of its proper divisors (23111885516379).

40772304182181 is a wasteful number, since it uses less digits than its factorization.

40772304182181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25422417.

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 40772304182181 in words is "forty trillion, seven hundred seventy-two billion, three hundred four million, one hundred eighty-two thousand, one hundred eighty-one".

Divisors: 1 3 11 13 33 39 143 429 3739 11217 41129 48607 123387 145821 534677 1604031 25418651 76255953 279605161 330442463 838815483 991327389 3634867093 10904601279 95040336089 285121008267 1045443696979 1235524369157 3136331090937 3706573107471 13590768060727 40772304182181