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11413863241380 = 2232588789714169
BaseRepresentation
bin1010011000010111111101…
…0000111001011010100100
31111102011011202100200022200
42212011333100321122210
52444001042442211010
640135242325054500
72255424112532565
oct246057720713244
944364152320280
1011413863241380
113700657271796
1213440bb857430
1364a426c2a3b2
142b66109b216c
1514bd7a1becc0
hexa617f4396a4

11413863241380 has 72 divisors (see below), whose sum is σ = 34622490247800. Its totient is φ = 3043658322432.

The previous prime is 11413863241379. The next prime is 11413863241409. The reversal of 11413863241380 is 8314236831411.

11413863241380 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 8 + 632 + 4 + 1 + 3 + 8 + 0 = 666.

11413863241380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7568397149184 + 3845466092196 = 2751072^2 + 1960986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15624936 + ... + 16339104.

Almost surely, 211413863241380 is an apocalyptic number.

11413863241380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413863241380 is an abundant number, since it is smaller than the sum of its proper divisors (23208627006420).

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

11413863241380 is a wasteful number, since it uses less digits than its factorization.

11413863241380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802973 (or 802968 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11413863241380 in words is "eleven trillion, four hundred thirteen billion, eight hundred sixty-three million, two hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 88789 177578 266367 355156 443945 532734 714169 799101 887890 1065468 1331835 1428338 1598202 1775780 2142507 2663670 2856676 3196404 3570845 3995505 4285014 5327340 6427521 7141690 7991010 8570028 10712535 12855042 14283380 15982020 21425070 25710084 32137605 42850140 64275210 128550420 63410351341 126820702682 190231054023 253641405364 317051756705 380462108046 570693162069 634103513410 760924216092 951155270115 1141386324138 1268207026820 1902310540230 2282772648276 2853465810345 3804621080460 5706931620690 11413863241380