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2140103402298 = 237598819413
BaseRepresentation
bin11111001001001000000…
…110100110001100111010
321120120222111010010000000
4133021020012212030322
5240030412432333143
64315052215053430
7310421520526551
oct37111006461472
97516874103000
102140103402298
1175568163a674
122a6924371276
13126a7068b654
147581db16d98
153aa07d26bd3
hex1f2481a633a

2140103402298 has 128 divisors (see below), whose sum is σ = 4902178579200. Its totient is φ = 700406403840.

The previous prime is 2140103402273. The next prime is 2140103402329. The reversal of 2140103402298 is 8922043010412.

2140103402298 is a `hidden beast` number, since 2 + 14 + 0 + 10 + 340 + 2 + 298 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227351440 + ... + 227360852.

It is an arithmetic number, because the mean of its divisors is an integer number (38298270150).

Almost surely, 22140103402298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140103402298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451089289600).

2140103402298 is an abundant number, since it is smaller than the sum of its proper divisors (2762075176902).

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

2140103402298 is an frugal number, since it uses more digits than its factorization.

2140103402298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2140103402298 in words is "two trillion, one hundred forty billion, one hundred three million, four hundred two thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 729 881 1062 1458 1593 1762 2187 2643 3186 4374 4779 5286 7929 9413 9558 14337 15858 18826 23787 28239 28674 43011 47574 51979 56478 71361 84717 86022 103958 129033 142722 155937 169434 214083 254151 258066 311874 428166 467811 508302 555367 642249 762453 935622 1110734 1284498 1403433 1524906 1666101 1926747 2287359 2806866 3332202 3853494 4210299 4574718 4998303 6862077 8292853 8420598 9996606 12630897 13724154 14994909 16585706 20586231 24878559 25261794 29989818 37892691 41172462 44984727 49757118 74635677 75785382 89969454 113678073 134954181 149271354 223907031 227356146 269908362 404862543 447814062 489278327 671721093 809725086 978556654 1214587629 1343442186 1467834981 2015163279 2429175258 2935669962 4030326558 4403504943 6045489837 8807009886 12090979674 13210514829 18136469511 26421029658 36272939022 39631544487 79263088974 118894633461 237789266922 356683900383 713367800766 1070051701149 2140103402298