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11204242400304 = 243367387100691
BaseRepresentation
bin1010001100001011000011…
…1000110110010000110000
31110200010002220202121222000
42203002300320312100300
52432032242023302204
635455054035014000
72234323400014332
oct243026070662060
943603086677860
1011204242400304
11362a768817268
12130b55a13a300
1363372b646165
142aa406c69452
151466ac2d6039
hexa30b0e36430

11204242400304 has 80 divisors (see below), whose sum is σ = 32640330349440. Its totient is φ = 3679004957760.

The previous prime is 11204242400297. The next prime is 11204242400353. The reversal of 11204242400304 is 40300424240211.

11204242400304 is a `hidden beast` number, since 1 + 1 + 204 + 2 + 424 + 0 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 193521402 + ... + 193579289.

It is an arithmetic number, because the mean of its divisors is an integer number (408004129368).

Almost surely, 211204242400304 is an apocalyptic number.

It is an amenable number.

11204242400304 is an abundant number, since it is smaller than the sum of its proper divisors (21436087949136).

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

11204242400304 is a wasteful number, since it uses less digits than its factorization.

11204242400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387100775 (or 387100763 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11204242400304 its reverse (40300424240211), we get a palindrome (51504666640515).

The spelling of 11204242400304 in words is "eleven trillion, two hundred four billion, two hundred forty-two million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 387100691 774201382 1161302073 1548402764 2322604146 3096805528 3483906219 4645208292 6193611056 6967812438 9290416584 10451718657 13935624876 18580833168 20903437314 25935746297 27871249752 41806874628 51871492594 55742499504 77807238891 83613749256 103742985188 155614477782 167227498512 207485970376 233421716673 311228955564 414971940752 466843433346 622457911128 700265150019 933686866692 1244915822256 1400530300038 1867373733384 2801060600076 3734747466768 5602121200152 11204242400304