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40520321794395 = 32510113170995989
BaseRepresentation
bin10010011011010010111110…
…11000110000000101011011
312022110201000220011211201200
421031221133120300011123
520302341104334410040
6222102440122045243
711351332230241152
oct1115513730600533
9168421026154650
1040520321794395
1111a02632321473
124665139949823
13197c08597c041
14a012a062c599
154a405e982630
hex24da5f63015b

40520321794395 has 96 divisors (see below), whose sum is σ = 71573630356800. Its totient is φ = 21203365248000.

The previous prime is 40520321794391. The next prime is 40520321794409. The reversal of 40520321794395 is 59349712302504.

It is a happy number.

40520321794395 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 0 + 32 + 179 + 439 + 5 = 666.

40520321794395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40520321794395 - 22 = 40520321794391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40520321794391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422087061 + ... + 422183049.

It is an arithmetic number, because the mean of its divisors is an integer number (745558649550).

Almost surely, 240520321794395 is an apocalyptic number.

40520321794395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40520321794395 is a deficient number, since it is larger than the sum of its proper divisors (31053308562405).

40520321794395 is a wasteful number, since it uses less digits than its factorization.

40520321794395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96941 (or 96938 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 40520321794395 in words is "forty trillion, five hundred twenty billion, three hundred twenty-one million, seven hundred ninety-four thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 101 131 303 393 505 655 709 909 1179 1515 1965 2127 3545 4545 5895 6381 10635 13231 31905 39693 66155 71609 92879 95989 119079 198465 214827 278637 287967 358045 464395 479945 595395 644481 835911 863901 1074135 1393185 1439835 3222405 4179555 4319505 9380779 9694889 12574559 28142337 29084667 37723677 46903895 48474445 62872795 68056201 84427011 87254001 113171031 140711685 145423335 188618385 204168603 340281005 422135055 436270005 565855155 612505809 1020843015 1270030459 3062529045 3810091377 6350152295 6873676301 8915362331 11430274131 19050456885 20621028903 26746086993 34368381505 44576811655 57151370655 61863086709 80238260979 103105144515 133730434965 309315433545 401191304895 900451595431 2701354786293 4502257977155 8104064358879 13506773931465 40520321794395