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3803234923440 = 243358811998589
BaseRepresentation
bin110111010110000010011…
…101110111001110110000
3111110120210222111011011000
4313112002131313032300
5444303011120022230
612031103151322000
7541526464311561
oct67260235671660
914416728434130
103803234923440
111236a40a67317
12515113820300
13217849a55054
14d2112b38168
1568de6a31b60
hex375827773b0

3803234923440 has 160 divisors (see below), whose sum is σ = 13114907467200. Its totient is φ = 1013044285440.

The previous prime is 3803234923429. The next prime is 3803234923457. The reversal of 3803234923440 is 443294323083.

3803234923440 is a `hidden beast` number, since 3 + 8 + 0 + 32 + 349 + 234 + 40 = 666.

It is a super-2 number, since 2×38032349234402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903666 + ... + 2902254.

It is an arithmetic number, because the mean of its divisors is an integer number (81968171670).

Almost surely, 23803234923440 is an apocalyptic number.

3803234923440 is a gapful number since it is divisible by the number (30) 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 3803234923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557453733600).

3803234923440 is an abundant number, since it is smaller than the sum of its proper divisors (9311672543760).

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

3803234923440 is a wasteful number, since it uses less digits than its factorization.

3803234923440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999492 (or 1999480 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3803234923440 in words is "three trillion, eight hundred three billion, two hundred thirty-four million, nine hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 881 1080 1762 2160 2643 3524 4405 5286 7048 7929 8810 10572 13215 14096 15858 17620 21144 23787 26430 31716 35240 39645 42288 47574 52860 63432 70480 79290 95148 105720 118935 126864 158580 190296 211440 237870 317160 380592 475740 634320 951480 1902960 1998589 3997178 5995767 7994356 9992945 11991534 15988712 17987301 19985890 23983068 29978835 31977424 35974602 39971780 47966136 53961903 59957670 71949204 79943560 89936505 95932272 107923806 119915340 143898408 159887120 179873010 215847612 239830680 269809515 287796816 359746020 431695224 479661360 539619030 719492040 863390448 1079238060 1438984080 1760756909 2158476120 3521513818 4316952240 5282270727 7043027636 8803784545 10564541454 14086055272 15846812181 17607569090 21129082908 26411353635 28172110544 31693624362 35215138180 42258165816 47540436543 52822707270 63387248724 70430276360 79234060905 84516331632 95080873086 105645414540 126774497448 140860552720 158468121810 190161746172 211290829080 237702182715 253548994896 316936243620 380323492344 422581658160 475404365430 633872487240 760646984688 950808730860 1267744974480 1901617461720 3803234923440