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40137423354 = 232719102116421
BaseRepresentation
bin100101011000011000…
…000111100111111010
310211121020122100220100
4211120120013213322
51124200140021404
630234444140230
72620433316660
oct453030074772
9124536570810
1040137423354
1116027590266
127941b37676
133a28699b62
141d2a940c30
15109daced39
hex9586079fa

40137423354 has 96 divisors (see below), whose sum is σ = 104727692160. Its totient is φ = 10852963200.

The previous prime is 40137423323. The next prime is 40137423377. The reversal of 40137423354 is 45332473104.

40137423354 is a `hidden beast` number, since 4 + 0 + 1 + 374 + 233 + 54 = 666.

40137423354 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 2×401374233542 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2436064 + ... + 2452484.

It is an arithmetic number, because the mean of its divisors is an integer number (1090913460).

Almost surely, 240137423354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137423354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363846080).

40137423354 is an abundant number, since it is smaller than the sum of its proper divisors (64590268806).

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

40137423354 is a wasteful number, since it uses less digits than its factorization.

40137423354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17476 (or 17473 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 40137423354 its reverse (45332473104), we get a palindrome (85469896458).

The spelling of 40137423354 in words is "forty billion, one hundred thirty-seven million, four hundred twenty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1021 1197 2042 2394 3063 6126 7147 9189 14294 16421 18378 19399 21441 32842 38798 42882 49263 58197 64323 98526 114947 116394 128646 135793 147789 174591 229894 271586 295578 311999 344841 349182 407379 623998 689682 814758 935997 1034523 1222137 1871994 2069046 2183993 2444274 2807991 4367986 5615982 6551979 13103958 16765841 19655937 33531682 39311874 50297523 100595046 117360887 150892569 234721774 301785138 318550979 352082661 637101958 704165322 955652937 1056247983 1911305874 2112495966 2229856853 2866958811 4459713706 5733917622 6689570559 13379141118 20068711677 40137423354