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21358268999144 = 23711307884912763
BaseRepresentation
bin1001101101100110111000…
…00010010110010111101000
32210121211102111012210212022
410312303130002112113220
510244413213330433034
6113231504152404012
74333040550021260
oct466633402262750
983554374183768
1021358268999144
116894a9a04a770
12248b4610a6608
13bbc0cb32639c
1453ba624247a0
1527089e584b2e
hex136cdc0965e8

21358268999144 has 128 divisors (see below), whose sum is σ = 50100640128000. Its totient is φ = 8292710845440.

The previous prime is 21358268999107. The next prime is 21358268999161. The reversal of 21358268999144 is 44199986285312.

It is a super-3 number, since 3×213582689991443 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673445707 + ... + 1673458469.

It is an arithmetic number, because the mean of its divisors is an integer number (391411251000).

Almost surely, 221358268999144 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 21358268999144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050320064000).

21358268999144 is an abundant number, since it is smaller than the sum of its proper divisors (28742371128856).

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

21358268999144 is a wasteful number, since it uses less digits than its factorization.

21358268999144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21943 (or 21939 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 71.

The spelling of 21358268999144 in words is "twenty-one trillion, three hundred fifty-eight billion, two hundred sixty-eight million, nine hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 307 308 614 616 1228 2149 2456 3377 4298 6754 8596 8849 12763 13508 17192 17698 23639 25526 27016 35396 47278 51052 61943 70792 89341 94556 97339 102104 123886 140393 178682 189112 194678 247772 280786 357364 389356 495544 561572 681373 714728 778712 982751 1123144 1362746 1965502 2716643 2725492 3918241 3931004 5433286 5450984 7836482 7862008 10866572 15672964 19016501 21733144 27427687 29883073 31345928 38033002 43100651 54855374 59766146 76066004 86201302 109710748 112939787 119532292 152132008 172402604 209181511 219421496 225879574 239064584 301704557 344805208 418363022 451759148 603409114 790578509 836726044 903518296 1206818228 1242337657 1581157018 1673452088 2413636456 2484675314 3162314036 4969350628 6324628072 8696363599 9938701256 17392727198 34672514609 34785454396 69345029218 69570908792 138690058436 242707602263 277380116872 381397660699 485415204526 762795321398 970830409052 1525590642796 1941660818104 2669783624893 3051181285592 5339567249786 10679134499572 21358268999144