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11413400432 = 247179676199
BaseRepresentation
bin10101010000100101…
…01010101101110000
31002110102022211000112
422220102222231300
5141333312303212
65124312440452
7552556205630
oct125022525560
932412284015
1011413400432
114927626745
1222663a9128
1310cb77b4a5
147a3b626c0
1546beed422
hex2a84aab70

11413400432 has 80 divisors (see below), whose sum is σ = 26791142400. Its totient is φ = 4598221824.

The previous prime is 11413400389. The next prime is 11413400437. The reversal of 11413400432 is 23400431411.

It is a junction number, because it is equal to n+sod(n) for n = 11413400398 and 11413400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413400437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838069 + ... + 1844267.

It is an arithmetic number, because the mean of its divisors is an integer number (334889280).

Almost surely, 211413400432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11413400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395571200).

11413400432 is an abundant number, since it is smaller than the sum of its proper divisors (15377741968).

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

11413400432 is a wasteful number, since it uses less digits than its factorization.

11413400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11413400432 its reverse (23400431411), we get a palindrome (34813831843).

The spelling of 11413400432 in words is "eleven billion, four hundred thirteen million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 967 1904 1934 3868 6199 6769 7736 12398 13538 15472 16439 24796 27076 32878 43393 49592 54152 65756 86786 99184 105383 108304 115073 131512 173572 210766 230146 263024 347144 421532 460292 694288 737681 843064 920584 1475362 1686128 1841168 2950724 5901448 5994433 11802896 11988866 23977732 41961031 47955464 83922062 95910928 101905361 167844124 203810722 335688248 407621444 671376496 713337527 815242888 1426675054 1630485776 2853350108 5706700216 11413400432