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40313554136154 = 232131921373483433
BaseRepresentation
bin10010010101010001110110…
…00100101110110001011010
312021201221022220100111102100
421022220323010232301122
520240444124324324104
6221423442513344230
711330362311163125
oct1112507304566132
9167657286314370
1040313554136154
1111932978379492
124631053868076
131965723526080
149d52877d13bc
1549d9ac2db139
hex24aa3b12ec5a

40313554136154 has 144 divisors (see below), whose sum is σ = 100000988097192. Its totient is φ = 11665540021248.

The previous prime is 40313554136147. The next prime is 40313554136183. The reversal of 40313554136154 is 45163145531304.

40313554136154 is a `hidden beast` number, since 4 + 0 + 3 + 13 + 5 + 5 + 4 + 13 + 615 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17654745080025 + 22658809056129 = 4201755^2 + 4760127^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9831222 + ... + 13314654.

Almost surely, 240313554136154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40313554136154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50000494048596).

40313554136154 is an abundant number, since it is smaller than the sum of its proper divisors (59687433961038).

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

40313554136154 is a wasteful number, since it uses less digits than its factorization.

40313554136154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483629 (or 3483607 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 40313554136154 its reverse (45163145531304), we get a palindrome (85476699667458).

The spelling of 40313554136154 in words is "forty trillion, three hundred thirteen billion, five hundred fifty-four million, one hundred thirty-six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 137 171 234 247 274 342 361 411 494 722 741 822 1083 1233 1482 1781 2166 2223 2466 2603 3249 3562 4446 4693 5206 5343 6498 7809 9386 10686 14079 15618 16029 23427 28158 32058 33839 42237 46854 49457 67678 84474 98914 101517 148371 203034 296742 304551 445113 609102 642941 890226 1285882 1928823 3483433 3857646 5786469 6966866 10450299 11572938 20900598 31350897 45284629 62701794 66185227 90569258 132370454 135853887 198555681 271707774 397111362 407561661 477230321 595667043 815123322 860407951 954460642 1191334086 1257519313 1431690963 1720815902 2515038626 2581223853 2863381926 3772557939 4295072889 5162447706 6203994173 7545115878 7743671559 8590145778 9067376099 11317673817 12407988346 15487343118 16347751069 18134752198 18611982519 22635347634 27202128297 32695502138 37223965038 49043253207 54404256594 55835947557 81606384891 98086506414 111671895114 117875889287 147129759621 163212769782 172280145881 235751778574 294259519242 344560291762 353627667861 516840437643 707255335722 1033680875286 1060883003583 1550521312929 2121766007166 2239641896453 3101042625858 4479283792906 6718925689359 13437851378718 20156777068077 40313554136154