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21345320443440 = 2435721815078269
BaseRepresentation
bin1001101101001110110000…
…01111100001111000110000
32210120121000002020000201010
410312213120033201320300
510244210204013142230
6113221523240110520
74332101640065100
oct466473017417060
983517002200633
1021345320443440
11688a554a12164
122488a48765440
13bbab167c72c6
1453b19484b200
152703928e59b0
hex1369d83e1e30

21345320443440 has 120 divisors (see below), whose sum is σ = 76973839274160. Its totient is φ = 4878930384384.

The previous prime is 21345320443439. The next prime is 21345320443477. The reversal of 21345320443440 is 4434402354312.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907527375 + ... + 907550894.

It is an arithmetic number, because the mean of its divisors is an integer number (641448660618).

Almost surely, 221345320443440 is an apocalyptic number.

21345320443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21345320443440 is an abundant number, since it is smaller than the sum of its proper divisors (55628518830720).

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

21345320443440 is a wasteful number, since it uses less digits than its factorization.

21345320443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815078299 (or 1815078286 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 21345320443440 its reverse (4434402354312), we get a palindrome (25779722797752).

The spelling of 21345320443440 in words is "twenty-one trillion, three hundred forty-five billion, three hundred twenty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1815078269 3630156538 5445234807 7260313076 9075391345 10890469614 12705547883 14520626152 18150782690 21780939228 25411095766 27226174035 29041252304 36301565380 38116643649 43561878456 50822191532 54452348070 63527739415 72603130760 76233287298 87123756912 88938835181 101644383064 108904696140 127055478830 145206261520 152466574596 177877670362 190583218245 203288766128 217809392280 254110957660 266816505543 304933149192 355755340724 381166436490 435618784560 444694175905 508221915320 533633011086 609866298384 711510681448 762332872980 889388351810 1016443830640 1067266022172 1334082527715 1423021362896 1524665745960 1778776703620 2134532044344 2668165055430 3049331491920 3557553407240 4269064088688 5336330110860 7115106814480 10672660221720 21345320443440