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11315211402040 = 2357133108574561
BaseRepresentation
bin1010010010101000011100…
…1001111111101100111000
31111001201112112111222211021
42210222013021333230320
52440342023104331130
640022045241512224
72245332325661620
oct244520711775470
944051475458737
1011315211402040
113672832938757
121328b694a2674
13641034818a70
142b1932a0b880
151495044da37a
hexa4a8727fb38

11315211402040 has 64 divisors (see below), whose sum is σ = 31334431584960. Its totient is φ = 3581077893120.

The previous prime is 11315211401969. The next prime is 11315211402101. The reversal of 11315211402040 is 4020411251311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11315211401996 and 11315211402014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554283641 + ... + 1554290920.

It is an arithmetic number, because the mean of its divisors is an integer number (489600493515).

Almost surely, 211315211402040 is an apocalyptic number.

11315211402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315211402040 is an abundant number, since it is smaller than the sum of its proper divisors (20019220182920).

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

11315211402040 is a wasteful number, since it uses less digits than its factorization.

11315211402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108574592 (or 3108574588 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 11315211402040 its reverse (4020411251311), we get a palindrome (15335622653351).

The spelling of 11315211402040 in words is "eleven trillion, three hundred fifteen billion, two hundred eleven million, four hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 3108574561 6217149122 12434298244 15542872805 21760021927 24868596488 31085745610 40411469293 43520043854 62171491220 80822938586 87040087708 108800109635 124342982440 161645877172 174080175416 202057346465 217600219270 282880285051 323291754344 404114692930 435200438540 565760570102 808229385860 870400877080 1131521140204 1414401425255 1616458771720 2263042280408 2828802850510 5657605701020 11315211402040