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40306921425 = 3252347601859
BaseRepresentation
bin100101100010011110…
…101100111111010001
310212001001120202112200
4211202132230333101
51130022032441200
630303341113413
72624562115311
oct454236547721
9125031522480
1040306921425
111610422a711
12798a858869
133a54834884
141d45263441
1510ad911800
hex9627acfd1

40306921425 has 72 divisors (see below), whose sum is σ = 72607123680. Its totient is φ = 21374496000.

The previous prime is 40306921349. The next prime is 40306921427. The reversal of 40306921425 is 52412960304.

It is a happy number.

It is not a de Polignac number, because 40306921425 - 28 = 40306921169 is a prime.

It is a super-2 number, since 2×403069214252 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40306921425.

It is not an unprimeable number, because it can be changed into a prime (40306921427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46922646 + ... + 46923504.

Almost surely, 240306921425 is an apocalyptic number.

40306921425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40306921425 is a deficient number, since it is larger than the sum of its proper divisors (32300202255).

40306921425 is a wasteful number, since it uses less digits than its factorization.

40306921425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40306921425 in words is "forty billion, three hundred six million, nine hundred twenty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 347 601 859 1041 1735 1803 2577 3005 3123 4295 5205 5409 7731 8675 9015 12885 15025 15615 21475 26025 27045 38655 45075 64425 78075 135225 193275 208547 298073 516259 625641 894219 1042735 1490365 1548777 1876923 2581295 2682657 3128205 4471095 4646331 5213675 7451825 7743885 9384615 12906475 13413285 15641025 22355475 23231655 38719425 46923075 67066425 116158275 179141873 537425619 895709365 1612276857 2687128095 4478546825 8061384285 13435640475 40306921425