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40007264412552 = 233172392663154067
BaseRepresentation
bin10010001100010111010101…
…10010001010001110001000
312020122122202001012101221020
421012023222302022032020
520220434334142200202
6221031030013512440
711266300210403043
oct1106135262121610
9166578661171836
1040007264412552
1111824a92856808
1245a1813aa2720
1319428905bb228
149c450d1c3c5a
15495a328655bc
hex2462eac8a388

40007264412552 has 128 divisors (see below), whose sum is σ = 106385309798400. Its totient is φ = 12494008153088.

The previous prime is 40007264412389. The next prime is 40007264412571. The reversal of 40007264412552 is 25521446270004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259597423 + ... + 259751489.

It is an arithmetic number, because the mean of its divisors is an integer number (831135232800).

Almost surely, 240007264412552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40007264412552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192654899200).

40007264412552 is an abundant number, since it is smaller than the sum of its proper divisors (66378045385848).

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

40007264412552 is a wasteful number, since it uses less digits than its factorization.

40007264412552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156995 (or 156991 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 40007264412552 in words is "forty trillion, seven billion, two hundred sixty-four million, four hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 239 408 478 717 956 1434 1912 2663 2868 4063 5326 5736 7989 8126 10652 12189 15978 16252 21304 24378 31956 32504 45271 48756 63912 90542 97512 135813 154067 181084 271626 308134 362168 462201 543252 616268 636457 924402 1086504 1232536 1272914 1848804 1909371 2545828 2619139 3697608 3818742 5091656 5238278 7637484 7857417 10476556 10819769 15274968 15714834 20953112 21639538 31429668 32459307 36822013 43279076 62859336 64918614 73644026 86558152 110466039 129837228 147288052 220932078 259674456 294576104 410280421 441864156 625974221 820560842 883728312 1230841263 1251948442 1641121684 1877922663 2461682526 2503896884 3282243368 3755845326 4923365052 5007793768 6974767157 7511690652 9846730104 13949534314 15023381304 20924301471 27899068628 41848602942 55798137256 83697205884 98057020619 167394411768 196114041238 294171061857 392228082476 588342123714 784456164952 1176684247428 1666969350523 2353368494856 3333938701046 5000908051569 6667877402092 10001816103138 13335754804184 20003632206276 40007264412552