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4341441203040 = 253527133375163
BaseRepresentation
bin111111001011010010000…
…011111000101101100000
3120101001000111112222002010
4333023102003320231200
51032112232421444130
613122232555552520
7625441650230424
oct77132203705540
916331014488063
104341441203040
1114242164180a7
125a1497a5b740
1325651c453656
141101ac208b84
1577de69340b0
hex3f2d20f8b60

4341441203040 has 96 divisors (see below), whose sum is σ = 13726003447296. Its totient is φ = 1153445598720.

The previous prime is 4341441202991. The next prime is 4341441203081. The reversal of 4341441203040 is 403021441434.

4341441203040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×43414412030402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4341441202989 and 4341441203007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16557502 + ... + 16817661.

It is an arithmetic number, because the mean of its divisors is an integer number (142979202576).

Almost surely, 24341441203040 is an apocalyptic number.

4341441203040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4341441203040 is an abundant number, since it is smaller than the sum of its proper divisors (9384562244256).

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

4341441203040 is a wasteful number, since it uses less digits than its factorization.

4341441203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33375452 (or 33375444 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4341441203040 its reverse (403021441434), we get a palindrome (4744462644474).

The spelling of 4341441203040 in words is "four trillion, three hundred forty-one billion, four hundred forty-one million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 43360 65040 130080 33375163 66750326 100125489 133500652 166875815 200250978 267001304 333751630 400501956 500627445 534002608 667503260 801003912 1001254890 1068005216 1335006520 1602007824 2002509780 2670013040 3204015648 4005019560 5340026080 8010039120 9044669173 16020078240 18089338346 27134007519 36178676692 45223345865 54268015038 72357353384 90446691730 108536030076 135670037595 144714706768 180893383460 217072060152 271340075190 289429413536 361786766920 434144120304 542680150380 723573533840 868288240608 1085360300760 1447147067680 2170720601520 4341441203040