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11127456740040 = 2335202745746821
BaseRepresentation
bin1010000111101101000000…
…0110110011001011001000
31110101202220120222221010220
42201323100012303023020
52424303012411140130
635355514423510040
72225634515455524
oct241732006631310
943352816887126
1011127456740040
113600145268203
1212b86aa8b8320
13629412430b24
142a6800d6cd84
151446b60e9410
hexa1ed01b32c8

11127456740040 has 64 divisors (see below), whose sum is σ = 33398839805760. Its totient is φ = 2965857834240.

The previous prime is 11127456740033. The next prime is 11127456740117. The reversal of 11127456740040 is 4004765472111.

It is a junction number, because it is equal to n+sod(n) for n = 11127456739974 and 11127456740001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22630171 + ... + 23116650.

It is an arithmetic number, because the mean of its divisors is an integer number (521856871965).

Almost surely, 211127456740040 is an apocalyptic number.

11127456740040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127456740040 is an abundant number, since it is smaller than the sum of its proper divisors (22271383065720).

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

11127456740040 is a wasteful number, since it uses less digits than its factorization.

11127456740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45748862 (or 45748858 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 11127456740040 in words is "eleven trillion, one hundred twenty-seven billion, four hundred fifty-six million, seven hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2027 4054 6081 8108 10135 12162 16216 20270 24324 30405 40540 48648 60810 81080 121620 243240 45746821 91493642 137240463 182987284 228734105 274480926 365974568 457468210 548961852 686202315 914936420 1097923704 1372404630 1829872840 2744809260 5489618520 92728806167 185457612334 278186418501 370915224668 463644030835 556372837002 741830449336 927288061670 1112745674004 1390932092505 1854576123340 2225491348008 2781864185010 3709152246680 5563728370020 11127456740040