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40046951925 = 32524124118013
BaseRepresentation
bin100101010010111110…
…111111110111110101
310211100221101221102200
4211102332333313311
51124004004430200
630221453055113
72615254321611
oct452276776765
9124327357380
1040046951925
1115a90507792
127917787499
133a12a11476
141d1c910341
151095bad800
hex952fbfdf5

40046951925 has 72 divisors (see below), whose sum is σ = 73787001288. Its totient is φ = 20749824000.

The previous prime is 40046951899. The next prime is 40046951927. The reversal of 40046951925 is 52915964004.

It can be written as a sum of positive squares in 12 ways, for example, as 6849383121 + 33197568804 = 82761^2 + 182202^2 .

It is not a de Polignac number, because 40046951925 - 27 = 40046951797 is a prime.

It is a super-2 number, since 2×400469519252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40046951927) 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, 2214219 + ... + 2232231.

Almost surely, 240046951925 is an apocalyptic number.

40046951925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40046951925 is a deficient number, since it is larger than the sum of its proper divisors (33740049363).

40046951925 is a wasteful number, since it uses less digits than its factorization.

40046951925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18311 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 40046951925 in words is "forty billion, forty-six million, nine hundred fifty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 241 369 615 723 1025 1205 1845 2169 3075 3615 6025 9225 9881 10845 18013 18075 29643 49405 54039 54225 88929 90065 148215 162117 247025 270195 444645 450325 738533 741075 810585 1350975 2215599 2223225 3692665 4052925 4341133 6646797 11077995 13023399 18463325 21705665 33233985 39070197 55389975 65116995 108528325 166169925 177986453 195350985 325584975 533959359 889932265 976754925 1601878077 2669796795 4449661325 8009390385 13348983975 40046951925