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4141626640 = 245128340351
BaseRepresentation
bin1111011011011100…
…0011010100010000
3101200122012102200021
43312313003110100
531440224023030
61522545233224
7204430150144
oct36667032420
911618172607
104141626640
111835927438
12977032814
1351007b268
142b409d224
151938ed97a
hexf6dc3510

4141626640 has 40 divisors (see below), whose sum is σ = 9637026048. Its totient is φ = 1655318400.

The previous prime is 4141626623. The next prime is 4141626667. The reversal of 4141626640 is 466261414.

4141626640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4141626596 and 4141626605.

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, 82465 + ... + 122815.

Almost surely, 24141626640 is an apocalyptic number.

4141626640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141626640 is an abundant number, since it is smaller than the sum of its proper divisors (5495399408).

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

4141626640 is a wasteful number, since it uses less digits than its factorization.

4141626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41647 (or 41641 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4141626640 is about 64355.4709407056. The cubic root of 4141626640 is about 1605.9190448159.

The spelling of 4141626640 in words is "four billion, one hundred forty-one million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1283 2566 5132 6415 10264 12830 20528 25660 40351 51320 80702 102640 161404 201755 322808 403510 645616 807020 1614040 3228080 51770333 103540666 207081332 258851665 414162664 517703330 828325328 1035406660 2070813320 4141626640