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40742056125 = 3253311168231
BaseRepresentation
bin100101111100011010…
…100111000010111101
310220011101100220010200
4211330122213002331
51131414431244000
630414443354113
72641424522511
oct457432470275
9126141326120
1040742056125
1116307912871
127a90522939
133ac3a28324
141d86d72141
1510d6c15500
hex97c6a70bd

40742056125 has 48 divisors (see below), whose sum is σ = 75813583872. Its totient is φ = 21028140000.

The previous prime is 40742056081. The next prime is 40742056139. The reversal of 40742056125 is 52165024704.

It is a happy number.

40742056125 is a `hidden beast` number, since 4 + 0 + 74 + 2 + 0 + 561 + 25 = 666.

It is not a de Polignac number, because 40742056125 - 213 = 40742047933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40742056125.

It is a congruent number.

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, 549241 + ... + 618990.

It is an arithmetic number, because the mean of its divisors is an integer number (1579449664).

Almost surely, 240742056125 is an apocalyptic number.

40742056125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40742056125 is a deficient number, since it is larger than the sum of its proper divisors (35071527747).

40742056125 is a wasteful number, since it uses less digits than its factorization.

40742056125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168283 (or 1168270 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40742056125 in words is "forty billion, seven hundred forty-two million, fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 1125 1395 2325 3875 6975 11625 34875 1168231 3504693 5841155 10514079 17523465 29205775 36215161 52570395 87617325 108645483 146028875 181075805 262851975 325936449 438086625 543227415 905379025 1314259875 1629682245 2716137075 4526895125 8148411225 13580685375 40742056125