Search a number
-
+
11406211244544 = 29337331989263
BaseRepresentation
bin1010010111111011011100…
…1010110110001000000000
31111101102102110202222000110
42211332313022312020000
52443334410034311134
640131535140151320
72255033355612114
oct245766712661000
944342373688013
1011406211244544
1136a838a985266
121342725098540
136497a782160c
142b60c6615744
1514ba7d5167e9
hexa5fb72b6200

11406211244544 has 80 divisors (see below), whose sum is σ = 30395014987392. Its totient is φ = 3801050001408.

The previous prime is 11406211244539. The next prime is 11406211244551. The reversal of 11406211244544 is 44544211260411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4739257 + ... + 6728519.

Almost surely, 211406211244544 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 11406211244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197507493696).

11406211244544 is an abundant number, since it is smaller than the sum of its proper divisors (18988803742848).

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

11406211244544 is an equidigital number, since it uses as much as digits as its factorization.

11406211244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993017 (or 1993001 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 11406211244544 in words is "eleven trillion, four hundred six billion, two hundred eleven million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3733 7466 11199 14932 22398 29864 44796 59728 89592 119456 179184 238912 358368 477824 716736 955648 1433472 1911296 1989263 2866944 3978526 5733888 5967789 7957052 11935578 15914104 23871156 31828208 47742312 63656416 95484624 127312832 190969248 254625664 381938496 509251328 763876992 1018502656 1527753984 3055507968 7425918779 14851837558 22277756337 29703675116 44555512674 59407350232 89111025348 118814700464 178222050696 237629400928 356444101392 475258801856 712888202784 950517603712 1425776405568 1901035207424 2851552811136 3802070414848 5703105622272 11406211244544