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40040601524 = 227114721113109
BaseRepresentation
bin100101010010100110…
…110001011110110100
310211100111110022022122
4211102212301132310
51124000343222044
630221105015112
72615146332410
oct452246613664
9124314408278
1040040601524
1115a8796a620
127915624498
133a115c9b31
141d1bb39d40
151095356dee
hex9529b17b4

40040601524 has 96 divisors (see below), whose sum is σ = 89649745920. Its totient is φ = 15194793600.

The previous prime is 40040601521. The next prime is 40040601563. The reversal of 40040601524 is 42510604004.

40040601524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400406015242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40040601493 and 40040601502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040601521) 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, 3047882 + ... + 3060990.

It is an arithmetic number, because the mean of its divisors is an integer number (933851520).

Almost surely, 240040601524 is an apocalyptic number.

40040601524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040601524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44824872960).

40040601524 is an abundant number, since it is smaller than the sum of its proper divisors (49609144396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40040601524 is a wasteful number, since it uses less digits than its factorization.

40040601524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13389 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 40040601524 in words is "forty billion, forty million, six hundred one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 211 308 329 422 517 658 844 1034 1316 1477 2068 2321 2954 3619 4642 5908 7238 9284 9917 13109 14476 16247 19834 26218 32494 39668 52436 64988 69419 91763 109087 138838 144199 183526 218174 277676 288398 367052 436348 576796 616123 763609 1009393 1232246 1527218 2018786 2464492 2765999 3054436 4037572 4312861 5531998 6777353 8625722 11063996 13554706 17251444 19361993 27109412 30425989 38723986 47441471 60851978 77447972 94882942 121703956 130001953 189765884 212981923 260003906 425963846 520007812 851927692 910013671 1430021483 1820027342 2860042966 3640054684 5720085932 10010150381 20020300762 40040601524