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10714444499840 = 27597225176673
BaseRepresentation
bin1001101111101010011010…
…1010001000101110000000
31101221021212001121021021212
42123322212222020232000
52401021140242443330
634442051534105252
72154043631400254
oct233724652105600
941837761537255
1010714444499840
113460a74660194
12125064594b228
135c94a2026693
14290820976264
15138a92182295
hex9bea6a88b80

10714444499840 has 128 divisors (see below), whose sum is σ = 25890117009120. Its totient is φ = 4239654912000.

The previous prime is 10714444499831. The next prime is 10714444499893. The reversal of 10714444499840 is 4899444441701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107144444998402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10714444499840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139703744 + ... + 139780416.

Almost surely, 210714444499840 is an apocalyptic number.

10714444499840 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 10714444499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945058504560).

10714444499840 is an abundant number, since it is smaller than the sum of its proper divisors (15175672509280).

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

10714444499840 is an equidigital number, since it uses as much as digits as its factorization.

10714444499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79040 (or 79028 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 10714444499840 in words is "ten trillion, seven hundred fourteen billion, four hundred forty-four million, four hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 2251 3104 3880 4502 6208 7760 9004 11255 12416 15520 18008 22510 31040 36016 45020 62080 72032 76673 90040 144064 153346 180080 218347 288128 306692 360160 383365 436694 613384 720320 766730 873388 1091735 1226768 1440640 1533460 1746776 2183470 2453536 3066920 3493552 4366940 4907072 6133840 6987104 7437281 8733880 9814144 12267680 13974208 14874562 17467760 24535360 27948416 29749124 34935520 37186405 49070720 59498248 69871040 74372810 118996496 139742080 148745620 172590923 237992992 297491240 345181846 475985984 594982480 690363692 862954615 951971968 1189964960 1380727384 1725909230 2379929920 2761454768 3451818460 4759859840 5522909536 6903636920 11045819072 13807273840 16741319531 22091638144 27614547680 33482639062 55229095360 66965278124 83706597655 110458190720 133930556248 167413195310 267861112496 334826390620 535722224992 669652781240 1071444449984 1339305562480 2142888899968 2678611124960 5357222249920 10714444499840