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40149387440 = 2451074690349
BaseRepresentation
bin100101011001000101…
…110000100010110000
310211122002011012112122
4211121011300202300
51124211220344230
630235552413412
72620640106461
oct453105604260
9124562135478
1040149387440
1116033312038
127945b47268
133a2acc86b6
141d2c376d68
15109eb94be5
hex9591708b0

40149387440 has 40 divisors (see below), whose sum is σ = 94219750800. Its totient is φ = 15909660416.

The previous prime is 40149387437. The next prime is 40149387451. The reversal of 40149387440 is 4478394104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401493874402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40149387391 and 40149387400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336615 + ... + 2353734.

It is an arithmetic number, because the mean of its divisors is an integer number (2355493770).

Almost surely, 240149387440 is an apocalyptic number.

40149387440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40149387440 is an abundant number, since it is smaller than the sum of its proper divisors (54070363360).

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

40149387440 is a wasteful number, since it uses less digits than its factorization.

40149387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690469 (or 4690463 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 40149387440 in words is "forty billion, one hundred forty-nine million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 4690349 9380698 18761396 23451745 37522792 46903490 75045584 93806980 187613960 375227920 501867343 1003734686 2007469372 2509336715 4014938744 5018673430 8029877488 10037346860 20074693720 40149387440