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483814212144 = 24323563778397
BaseRepresentation
bin1110000101001011001…
…00110000001000110000
31201020210211210111102020
413002211210300020300
530411322414242034
61010132225351440
746645236643434
oct7024544601060
91636724714366
10483814212144
1117720356751a
1279924498580
1336814a45403
14195b972c9c4
15c8b9b8e249
hex70a5930230

483814212144 has 80 divisors (see below), whose sum is σ = 1306513020672. Its totient is φ = 153985410304.

The previous prime is 483814212109. The next prime is 483814212169. The reversal of 483814212144 is 441212418384.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 483814212096 and 483814212105.

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, 232354 + ... + 1010750.

Almost surely, 2483814212144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483814212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653256510336).

483814212144 is an abundant number, since it is smaller than the sum of its proper divisors (822698808528).

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

483814212144 is a wasteful number, since it uses less digits than its factorization.

483814212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778994 (or 778988 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The spelling of 483814212144 in words is "four hundred eighty-three billion, eight hundred fourteen million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 563 1104 1126 1689 2252 3378 4504 6756 9008 12949 13512 25898 27024 38847 51796 77694 103592 155388 207184 310776 621552 778397 1556794 2335191 3113588 4670382 6227176 9340764 12454352 17903131 18681528 35806262 37363056 53709393 71612524 107418786 143225048 214837572 286450096 429675144 438237511 859350288 876475022 1314712533 1752950044 2629425066 3505900088 5258850132 7011800176 10079462753 10517700264 20158925506 21035400528 30238388259 40317851012 60476776518 80635702024 120953553036 161271404048 241907106072 483814212144