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14131010001240 = 23325113568436869
BaseRepresentation
bin1100110110100010000111…
…0101001101100101011000
31212000220121101100120121200
43031220201311031211120
53323010302030014430
650015410230034200
72655634413111666
oct315504165154530
955026541316550
1014131010001240
114558a22829690
1217028267a8960
137b6719157c42
1436bd31b29c36
151978a776b460
hexcda21d4d958

14131010001240 has 96 divisors (see below), whose sum is σ = 50100853654800. Its totient is φ = 3425699393280.

The previous prime is 14131010001131. The next prime is 14131010001281. The reversal of 14131010001240 is 4210001013141.

14131010001240 is a `hidden beast` number, since 1 + 413 + 1 + 0 + 10 + 0 + 0 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1784214475 + ... + 1784222394.

Almost surely, 214131010001240 is an apocalyptic number.

14131010001240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131010001240 is an abundant number, since it is smaller than the sum of its proper divisors (35969843653560).

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

14131010001240 is a wasteful number, since it uses less digits than its factorization.

14131010001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568436897 (or 3568436890 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14131010001240 its reverse (4210001013141), we get a palindrome (18341011014381).

The spelling of 14131010001240 in words is "fourteen trillion, one hundred thirty-one billion, ten million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3568436869 7136873738 10705310607 14273747476 17842184345 21410621214 28547494952 32115931821 35684368690 39252805559 42821242428 53526553035 64231863642 71368737380 78505611118 85642484856 107053106070 117758416677 128463727284 142737474760 157011222236 160579659105 196264027795 214106212140 235516833354 256927454568 314022444472 321159318210 353275250031 392528055590 428212424280 471033666708 588792083385 642318636420 706550500062 785056111180 942067333416 1177584166770 1284637272840 1413101000124 1570112222360 1766376250155 2355168333540 2826202000248 3532752500310 4710336667080 7065505000620 14131010001240