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4101401040 = 2435111553561
BaseRepresentation
bin1111010001110110…
…0110100111010000
3101120211111202112020
43310131212213100
531344424313130
61514551131440
7203431222302
oct36435464720
911524452466
104101401040
111815152340
12965673b80
13504935b29
142ac9cb972
15190104e10
hexf47669d0

4101401040 has 80 divisors (see below), whose sum is σ = 13870201536. Its totient is φ = 994278400.

The previous prime is 4101401039. The next prime is 4101401081. The reversal of 4101401040 is 401041014.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774141 + ... + 779420.

Almost surely, 24101401040 is an apocalyptic number.

4101401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101401040 is an abundant number, since it is smaller than the sum of its proper divisors (9768800496).

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

4101401040 is a wasteful number, since it uses less digits than its factorization.

4101401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553588 (or 1553582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4101401040 is about 64042.1817242355. The cubic root of 4101401040 is about 1600.7029515334.

Adding to 4101401040 its reverse (401041014), we get a palindrome (4502442054).

The spelling of 4101401040 in words is "four billion, one hundred one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1553561 3107122 4660683 6214244 7767805 9321366 12428488 15535610 17089171 18642732 23303415 24856976 31071220 34178342 37285464 46606830 51267513 62142440 68356684 74570928 85445855 93213660 102535026 124284880 136713368 170891710 186427320 205070052 256337565 273426736 341783420 372854640 410140104 512675130 683566840 820280208 1025350260 1367133680 2050700520 4101401040