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11352113444240 = 2451967311097319
BaseRepresentation
bin1010010100110001111010…
…1100000111010110010000
31111012020210022012222010222
42211030132230013112100
52441443112020203430
640051031112412212
72251106645111522
oct245143654072620
944166708188128
1011352113444240
11368744a0aa198
1213341479a7068
13644665b099aa
142b3633993a12
1514a46402d9e5
hexa531eb07590

11352113444240 has 80 divisors (see below), whose sum is σ = 27824088489600. Its totient is φ = 4295461072896.

The previous prime is 11352113444239. The next prime is 11352113444279. The reversal of 11352113444240 is 4244431125311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11352113444240.

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, 4525700 + ... + 6571619.

It is an arithmetic number, because the mean of its divisors is an integer number (347801106120).

Almost surely, 211352113444240 is an apocalyptic number.

11352113444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11352113444240 is an abundant number, since it is smaller than the sum of its proper divisors (16471975045360).

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

11352113444240 is a wasteful number, since it uses less digits than its factorization.

11352113444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11098024 (or 11098018 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 11352113444240 its reverse (4244431125311), we get a palindrome (15596544569551).

The spelling of 11352113444240 in words is "eleven trillion, three hundred fifty-two billion, one hundred thirteen million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 673 760 1346 1520 2692 3365 5384 6730 10768 12787 13460 25574 26920 51148 53840 63935 102296 127870 204592 255740 511480 1022960 11097319 22194638 44389276 55486595 88778552 110973190 177557104 210849061 221946380 421698122 443892760 843396244 887785520 1054245305 1686792488 2108490610 3373584976 4216981220 7468495687 8433962440 14936991374 16867924880 29873982748 37342478435 59747965496 74684956870 119495930992 141901418053 149369913740 283802836106 298739827480 567605672212 597479654960 709507090265 1135211344424 1419014180530 2270422688848 2838028361060 5676056722120 11352113444240