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4434230013440 = 2952323274331
BaseRepresentation
bin100000010000110110010…
…1101000110111000000000
3120200220112010001220212112
41000201230231012320000
51040122300340412230
613233020202114452
7635235232136513
oct100415455067000
916626463056775
104434230013440
11145a601273777
125b74727aba28
132621b8c859a6
14114891656d7a
157a527a39d95
hex4086cb46e00

4434230013440 has 120 divisors (see below), whose sum is σ = 11114110948248. Its totient is φ = 1696574443520.

The previous prime is 4434230013413. The next prime is 4434230013487. The reversal of 4434230013440 is 443100324344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4434230013397 and 4434230013406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282926 + ... + 2991405.

Almost surely, 24434230013440 is an apocalyptic number.

4434230013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434230013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557055474124).

4434230013440 is an abundant number, since it is smaller than the sum of its proper divisors (6679880934808).

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

4434230013440 is an equidigital number, since it uses as much as digits as its factorization.

4434230013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274400 (or 3274361 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4434230013440 its reverse (443100324344), we get a palindrome (4877330337784).

The spelling of 4434230013440 in words is "four trillion, four hundred thirty-four billion, two hundred thirty million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 529 640 736 920 1058 1280 1472 1840 2116 2560 2645 2944 3680 4232 5290 5888 7360 8464 10580 11776 14720 16928 21160 29440 33856 42320 58880 67712 84640 135424 169280 270848 338560 677120 1354240 3274331 6548662 13097324 16371655 26194648 32743310 52389296 65486620 75309613 104778592 130973240 150619226 209557184 261946480 301238452 376548065 419114368 523892960 602476904 753096130 838228736 1047785920 1204953808 1506192260 1676457472 1732121099 2095571840 2409907616 3012384520 3464242198 4191143680 4819815232 6024769040 6928484396 8382287360 8660605495 9639630464 12049538080 13856968792 17321210990 19279260928 24099076160 27713937584 34642421980 38558521856 48198152320 55427875168 69284843960 96396304640 110855750336 138569687920 192792609280 221711500672 277139375840 443423001344 554278751680 886846002688 1108557503360 2217115006720 4434230013440