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10140422231430 = 23257112171303961
BaseRepresentation
bin1001001110010000000001…
…0000111101010110000110
31022220102012110102201012200
42103210000100331112012
52312120041042401210
633322240132455330
72064423054540111
oct223440020752606
938812173381180
1010140422231430
11325a58aa97957
121179346a7a546
13587312343aaa
14270b2886b578
15128b97c6a0c0
hex9390043d586

10140422231430 has 96 divisors (see below), whose sum is σ = 26758426863168. Its totient is φ = 2663833804800.

The previous prime is 10140422231419. The next prime is 10140422231441. The reversal of 10140422231430 is 3413222404101.

10140422231430 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 2 + 223 + 1 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (10140422231419) and next prime (10140422231441).

It is a junction number, because it is equal to n+sod(n) for n = 10140422231394 and 10140422231403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7124650 + ... + 8428610.

It is an arithmetic number, because the mean of its divisors is an integer number (278733613158).

Almost surely, 210140422231430 is an apocalyptic number.

10140422231430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140422231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379213431584).

10140422231430 is an abundant number, since it is smaller than the sum of its proper divisors (16618004631738).

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

10140422231430 is a wasteful number, since it uses less digits than its factorization.

10140422231430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305262 (or 1305259 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10140422231430 its reverse (3413222404101), we get a palindrome (13553644635531).

The spelling of 10140422231430 in words is "ten trillion, one hundred forty billion, four hundred twenty-two million, two hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1217 1278 2130 2434 3195 3651 6085 6390 7302 10953 12170 18255 21906 36510 54765 86407 109530 172814 259221 432035 518442 777663 864070 1296105 1303961 1555326 2592210 2607922 3888315 3911883 6519805 7776630 7823766 11735649 13039610 19559415 23471298 39118830 58678245 92581231 117356490 185162462 277743693 462906155 555487386 833231079 925812310 1388718465 1586920537 1666462158 2777436930 3173841074 4166155395 4760761611 7934602685 8332310790 9521523222 14282284833 15869205370 23803808055 28564569666 47607616110 71411424165 112671358127 142822848330 225342716254 338014074381 563356790635 676028148762 1014042223143 1126713581270 1690070371905 2028084446286 3380140743810 5070211115715 10140422231430