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2102344213440 = 263513229165541
BaseRepresentation
bin11110100101111101011…
…110101110001111000000
321102222111222112120111210
4132211331132232033000
5233421100104312230
64245445324410120
7304614022652052
oct36457536561700
97388458476453
102102344213440
11740665556169
1229b5469a6940
13123333929553
1473a7adab8d2
1539a47e1deb0
hex1e97d7ae3c0

2102344213440 has 112 divisors (see below), whose sum is σ = 6675487771680. Its totient is φ = 560579358720.

The previous prime is 2102344213439. The next prime is 2102344213447. The reversal of 2102344213440 is 443124432012.

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 = 2102344213398 and 2102344213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102344213447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12617070 + ... + 12782610.

It is an arithmetic number, because the mean of its divisors is an integer number (59602569390).

Almost surely, 22102344213440 is an apocalyptic number.

2102344213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102344213440 is an abundant number, since it is smaller than the sum of its proper divisors (4573143558240).

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

2102344213440 is a wasteful number, since it uses less digits than its factorization.

2102344213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178790 (or 178780 counting only the distinct ones).

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

Adding to 2102344213440 its reverse (443124432012), we get a palindrome (2545468645452).

The spelling of 2102344213440 in words is "two trillion, one hundred two billion, three hundred forty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13229 26458 39687 52916 66145 79374 105832 132290 158748 165541 198435 211664 264580 317496 331082 396870 423328 496623 529160 634992 662164 793740 827705 846656 993246 1058320 1269984 1324328 1587480 1655410 1986492 2116640 2483115 2539968 2648656 3174960 3310820 3972984 4233280 4966230 5297312 6349920 6621640 7945968 9932460 10594624 12699840 13243280 15891936 19864920 26486560 31783872 39729840 52973120 79459680 158919360 2189941889 4379883778 6569825667 8759767556 10949709445 13139651334 17519535112 21899418890 26279302668 32849128335 35039070224 43798837780 52558605336 65698256670 70078140448 87597675560 105117210672 131396513340 140156280896 175195351120 210234421344 262793026680 350390702240 420468842688 525586053360 700781404480 1051172106720 2102344213440