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40133557160037 = 321113711512570849
BaseRepresentation
bin10010010000000010100100…
…11010110000100001100101
312021002201201121021201011100
421020001102122300201211
520230022011113110122
6221205033541430313
711311360650136035
oct1110012232604145
9167081647251140
1040133557160037
1111873600812190
12460219b10b399
131951769400003
149ca6901818c5
15498e74ecdaac
hex2480526b0865

40133557160037 has 48 divisors (see below), whose sum is σ = 63757738137600. Its totient is φ = 24124837632000.

The previous prime is 40133557159859. The next prime is 40133557160069. The reversal of 40133557160037 is 73006175533104.

40133557160037 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 5 + 5 + 7 + 1 + 600 + 37 = 666.

It is not a de Polignac number, because 40133557160037 - 223 = 40133548771429 is a prime.

It is a super-3 number, since 3×401335571600373 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40133557159974 and 40133557160001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133557162037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14325589 + ... + 16896437.

It is an arithmetic number, because the mean of its divisors is an integer number (1328286211200).

Almost surely, 240133557160037 is an apocalyptic number.

It is an amenable number.

40133557160037 is a deficient number, since it is larger than the sum of its proper divisors (23624180977563).

40133557160037 is a wasteful number, since it uses less digits than its factorization.

40133557160037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572154 (or 2572151 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 40133557160037 in words is "forty trillion, one hundred thirty-three billion, five hundred fifty-seven million, one hundred sixty thousand, thirty-seven".

Divisors: 1 3 9 11 33 99 137 411 1151 1233 1507 3453 4521 10359 12661 13563 37983 113949 157687 473061 1419183 1734557 2570849 5203671 7712547 15611013 23137641 28279339 84838017 254514051 352206313 1056618939 2959047199 3169856817 3874269443 8877141597 11622808329 26631424791 32549519189 34868424987 97648557567 292945672701 405389466263 1216168398789 3648505196367 4459284128893 13377852386679 40133557160037