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2105156273440 = 255115417220807
BaseRepresentation
bin11110101000100101000…
…101111000010100100000
321110020202221221000122011
4132220211011320110200
5233442330001222230
64251032340522304
7305043510036523
oct36504505702440
97406687830564
102105156273440
117418789204a0
1229bbb06b0394
131236913b9b8c
1473c66650bba
1539b5ec3be2a
hex1ea25178520

2105156273440 has 96 divisors (see below), whose sum is σ = 5426588006784. Its totient is φ = 765366589440.

The previous prime is 2105156273431. The next prime is 2105156273527. The reversal of 2105156273440 is 443726515012.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2105156273393 and 2105156273402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9423517 + ... + 9644323.

It is an arithmetic number, because the mean of its divisors is an integer number (56526958404).

Almost surely, 22105156273440 is an apocalyptic number.

2105156273440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105156273440 is an abundant number, since it is smaller than the sum of its proper divisors (3321431733344).

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

2105156273440 is a wasteful number, since it uses less digits than its factorization.

2105156273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226250 (or 226242 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2105156273440 in words is "two trillion, one hundred five billion, one hundred fifty-six million, two hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5417 10834 21668 27085 43336 54170 59587 86672 108340 119174 173344 216680 220807 238348 297935 433360 441614 476696 595870 866720 883228 953392 1104035 1191740 1766456 1906784 2208070 2383480 2428877 3532912 4416140 4766960 4857754 7065824 8832280 9533920 9715508 12144385 17664560 19431016 24288770 35329120 38862032 48577540 77724064 97155080 194310160 388620320 1196111519 2392223038 4784446076 5980557595 9568892152 11961115190 13157226709 19137784304 23922230380 26314453418 38275568608 47844460760 52628906836 65786133545 95688921520 105257813672 131572267090 191377843040 210515627344 263144534180 421031254688 526289068360 1052578136720 2105156273440