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4146061040 = 2451141114913
BaseRepresentation
bin1111011100011111…
…1101111011110000
3101200221112201112022
43313013331323300
531442342423130
61523224251012
7204512636342
oct36707757360
911627481468
104146061040
111838386030
12978610a68
13510c71774
142b48d5292
15193ec77e5
hexf71fdef0

4146061040 has 80 divisors (see below), whose sum is σ = 10772498016. Its totient is φ = 1470873600.

The previous prime is 4146061033. The next prime is 4146061097. The reversal of 4146061040 is 401606414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21377 + ... + 93536.

Almost surely, 24146061040 is an apocalyptic number.

4146061040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4146061040 is an abundant number, since it is smaller than the sum of its proper divisors (6626436976).

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

4146061040 is a wasteful number, since it uses less digits than its factorization.

4146061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114978 (or 114972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4146061040 is about 64389.9141170417. The cubic root of 4146061040 is about 1606.4919877662.

Adding to 4146061040 its reverse (401606414), we get a palindrome (4547667454).

The spelling of 4146061040 in words is "four billion, one hundred forty-six million, sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 114913 229826 459652 574565 919304 1149130 1264043 1838608 2298260 2528086 4596520 4711433 5056172 6320215 9193040 9422866 10112344 12640430 18845732 20224688 23557165 25280860 37691464 47114330 50561720 51825763 75382928 94228660 101123440 103651526 188457320 207303052 259128815 376914640 414606104 518257630 829212208 1036515260 2073030520 4146061040