Search a number
-
+
2163435421440 = 2835781772073
BaseRepresentation
bin11111011110110110110…
…011001011111100000000
321122211012112102111020010
4133132312303023330000
5240421203431441230
64333511333144520
7312205642444146
oct37366663137400
97584175374203
102163435421440
11764564992a17
122ab35618b140
1312901b479637
14769d4751596
153b42136c9b0
hex1f7b6ccbf00

2163435421440 has 144 divisors (see below), whose sum is σ = 6910451660448. Its totient is φ = 576834306048.

The previous prime is 2163435421429. The next prime is 2163435421453. The reversal of 2163435421440 is 441245343612.

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, 29981244 + ... + 30053316.

It is an arithmetic number, because the mean of its divisors is an integer number (47989247642).

Almost surely, 22163435421440 is an apocalyptic number.

2163435421440 is a gapful number since it is divisible by the number (20) 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 2163435421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455225830224).

2163435421440 is an abundant number, since it is smaller than the sum of its proper divisors (4747016239008).

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

2163435421440 is an equidigital number, since it uses as much as digits as its factorization.

2163435421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79914 (or 79900 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 2163435421440 in words is "two trillion, one hundred sixty-three billion, four hundred thirty-five million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 7817 15634 23451 31268 39085 46902 62536 72073 78170 93804 117255 125072 144146 156340 187608 216219 234510 250144 288292 312680 360365 375216 432438 469020 500288 576584 625360 720730 750432 864876 938040 1000576 1081095 1153168 1250720 1441460 1500864 1729752 1876080 2001152 2162190 2306336 2501440 2882920 3001728 3459504 3752160 4324380 4612672 5002880 5765840 6003456 6919008 7504320 8648760 9225344 10005760 11531680 13838016 15008640 17297520 18450688 23063360 27676032 30017280 34595040 46126720 55352064 69190080 92253440 138380160 276760320 563394641 1126789282 1690183923 2253578564 2816973205 3380367846 4507157128 5633946410 6760735692 8450919615 9014314256 11267892820 13521471384 16901839230 18028628512 22535785640 27042942768 33803678460 36057257024 45071571280 54085885536 67607356920 72114514048 90143142560 108171771072 135214713840 144229028096 180286285120 216343542144 270429427680 360572570240 432687084288 540858855360 721145140480 1081717710720 2163435421440