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40133364607312 = 2431591371424433
BaseRepresentation
bin10010010000000010001101…
…11100001110100101010000
312021002201020011222000110221
421020001012330032211100
520230021112314413222
6221205002502402424
711311353121356604
oct1110010674164520
9167081204860427
1040133364607312
11118735120564a9
124602146730414
1319517385526a2
149ca67277b504
15498e631460c7
hex248046f0e950

40133364607312 has 40 divisors (see below), whose sum is σ = 81627182311680. Its totient is φ = 19090228093440.

The previous prime is 40133364607291. The next prime is 40133364607321. The reversal of 40133364607312 is 21370646333104.

It is a super-2 number, since 2×401333646073122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685682953 + ... + 685741480.

It is an arithmetic number, because the mean of its divisors is an integer number (2040679557792).

Almost surely, 240133364607312 is an apocalyptic number.

It is an amenable number.

40133364607312 is an abundant number, since it is smaller than the sum of its proper divisors (41493817704368).

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

40133364607312 is a wasteful number, since it uses less digits than its factorization.

40133364607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371424531 (or 1371424525 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 40133364607312 in words is "forty trillion, one hundred thirty-three billion, three hundred sixty-four million, six hundred seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 7316 14632 29264 1371424433 2742848866 5485697732 10971395464 21942790928 42514157423 80914041547 85028314846 161828083094 170056629692 323656166188 340113259384 647312332376 680226518768 1294624664752 2508335287957 5016670575914 10033341151828 20066682303656 40133364607312