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16121440340 = 22517197135149
BaseRepresentation
bin11110000001110100…
…11010100001010100
31112121112100000121222
433000322122201110
5231004042042330
611223414225512
71110334660535
oct170072324124
945545300558
1016121440340
116923150815
12315b055298
13169bc95915
14acd14468c
156454d30e5
hex3c0e9a854

16121440340 has 96 divisors (see below), whose sum is σ = 38265696000. Its totient is φ = 5668669440.

The previous prime is 16121440333. The next prime is 16121440399. The reversal of 16121440340 is 4304412161.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441086 + ... + 476234.

It is an arithmetic number, because the mean of its divisors is an integer number (398601000).

Almost surely, 216121440340 is an apocalyptic number.

16121440340 is a gapful number since it is divisible by the number (10) 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 16121440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132848000).

16121440340 is an abundant number, since it is smaller than the sum of its proper divisors (22144255660).

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

16121440340 is a wasteful number, since it uses less digits than its factorization.

16121440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35265 (or 35263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 16121440340 in words is "sixteen billion, one hundred twenty-one million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 170 190 284 323 340 355 380 646 710 1207 1292 1349 1420 1615 2414 2698 3230 4828 5396 6035 6460 6745 12070 13490 22933 24140 26980 35149 45866 70298 91732 114665 140596 175745 229330 351490 458660 597533 667831 702980 1195066 1335662 2390132 2495579 2671324 2987665 3339155 4991158 5975330 6678310 9982316 11353127 11950660 12477895 13356620 22706254 24955790 42424843 45412508 47416001 49911580 56765635 84849686 94832002 113531270 169699372 189664004 212124215 227062540 237080005 424248430 474160010 806072017 848496860 948320020 1612144034 3224288068 4030360085 8060720170 16121440340