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102440321014140 = 223251192747716349
BaseRepresentation
bin10111010010101100111110…
…111100011101100101111100
3111102201012101002211111100200
4113102230332330131211330
5101411340234134423030
61001512233411123500
730402032436413364
oct2722547674354574
9442635332744320
10102440321014140
112a70577266503a
12b5a57542a3590
1345211087458a5
141b421d09159a4
15bc9a93e3cd60
hex5d2b3ef1d97c

102440321014140 has 72 divisors (see below), whose sum is σ = 310761700048800. Its totient is φ = 27315127979904.

The previous prime is 102440321014123. The next prime is 102440321014223. The reversal of 102440321014140 is 41410123044201.

102440321014140 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 403 + 210 + 1 + 4 + 1 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21711315 + ... + 26005034.

It is an arithmetic number, because the mean of its divisors is an integer number (4316134722900).

Almost surely, 2102440321014140 is an apocalyptic number.

102440321014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102440321014140 is an abundant number, since it is smaller than the sum of its proper divisors (208321379034660).

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

102440321014140 is a wasteful number, since it uses less digits than its factorization.

102440321014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47728291 (or 47728286 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102440321014140 its reverse (41410123044201), we get a palindrome (143850444058341).

The spelling of 102440321014140 in words is "one hundred two trillion, four hundred forty billion, three hundred twenty-one million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11927 23854 35781 47708 59635 71562 107343 119270 143124 178905 214686 238540 357810 429372 536715 715620 1073430 2146860 47716349 95432698 143149047 190865396 238581745 286298094 429447141 477163490 572596188 715745235 858894282 954326980 1431490470 1717788564 2147235705 2862980940 4294471410 8588942820 569112894523 1138225789046 1707338683569 2276451578092 2845564472615 3414677367138 5122016050707 5691128945230 6829354734276 8536693417845 10244032101414 11382257890460 17073386835690 20488064202828 25610080253535 34146773671380 51220160507070 102440321014140