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40825599381 = 3272961794637
BaseRepresentation
bin100110000001011001…
…010011010110010101
310220101012120022221100
4212001121103112111
51132102323140011
630431030140313
72643460604040
oct460131232625
9126335508840
1040825599381
111634aa94086
127ab44b1699
133b081293c8
141d940bbc57
1510de218d56
hex981653595

40825599381 has 96 divisors (see below), whose sum is σ = 71773977600. Its totient is φ = 21870051840.

The previous prime is 40825599377. The next prime is 40825599391. The reversal of 40825599381 is 18399552804.

40825599381 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 559 + 9 + 3 + 81 = 666.

It is not a de Polignac number, because 40825599381 - 22 = 40825599377 is a prime.

It is a super-2 number, since 2×408255993812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40825599341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8801995 + ... + 8806631.

It is an arithmetic number, because the mean of its divisors is an integer number (747645600).

Almost surely, 240825599381 is an apocalyptic number.

It is an amenable number.

40825599381 is a deficient number, since it is larger than the sum of its proper divisors (30948378219).

40825599381 is a wasteful number, since it uses less digits than its factorization.

40825599381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 40825599381 in words is "forty billion, eight hundred twenty-five million, five hundred ninety-nine thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 29 61 63 79 87 183 203 237 261 427 549 553 609 711 1281 1659 1769 1827 2291 3843 4637 4819 4977 5307 6873 12383 13911 14457 15921 16037 20619 32459 33733 37149 41733 43371 48111 97377 101199 111447 134473 139751 144333 282857 292131 303597 366323 403419 419253 848571 941311 978257 1098969 1210257 1257759 1979999 2545713 2564261 2823933 2934771 3296907 5939997 7692783 8202853 8471799 8804313 10623367 17819991 22345703 23078349 24608559 31870101 57419971 67037109 73825677 74363569 95610303 156419921 172259913 201111327 223090707 469259763 516779739 648025387 669272121 1407779289 1944076161 4536177709 5832228483 13608533127 40825599381