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11014414004 = 22114161101991
BaseRepresentation
bin10100100001000001…
…01001111010110100
31001102121120012112102
422100200221322310
5140024142222004
65020541041232
7536642655116
oct122040517264
931377505472
1011014414004
1147423932a0
122174856218
131066c03349
14766b833b6
15446e8a11e
hex290829eb4

11014414004 has 96 divisors (see below), whose sum is σ = 22132583424. Its totient is φ = 4752000000.

The previous prime is 11014414001. The next prime is 11014414031. The reversal of 11014414004 is 40041441011.

It is a happy number.

It is a super-2 number, since 2×110144140042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11113949 + ... + 11114939.

It is an arithmetic number, because the mean of its divisors is an integer number (230547744).

Almost surely, 211014414004 is an apocalyptic number.

It is an amenable number.

11014414004 is an abundant number, since it is smaller than the sum of its proper divisors (11118169420).

11014414004 is a wasteful number, since it uses less digits than its factorization.

11014414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11014414004 its reverse (40041441011), we get a palindrome (51055855015).

The spelling of 11014414004 in words is "eleven billion, fourteen million, four hundred fourteen thousand, four".

Divisors: 1 2 4 11 22 41 44 61 82 101 122 164 202 244 404 451 671 902 991 1111 1342 1804 1982 2222 2501 2684 3964 4141 4444 5002 6161 8282 10004 10901 12322 16564 21802 24644 27511 40631 43604 45551 55022 60451 67771 81262 91102 100091 110044 120902 135542 162524 182204 200182 241804 252601 271084 400364 446941 505202 664961 893882 1010404 1101001 1329922 1787764 2202002 2478491 2659844 2778611 4103731 4404004 4956982 5557222 6105551 8207462 9913964 11114444 12211102 16414924 24422204 27263401 45141041 54526802 67161061 90282082 109053604 134322122 180564164 250327591 268644244 500655182 1001310364 2753603501 5507207002 11014414004