Search a number
-
+
420097819055376 = 243711113662829831
BaseRepresentation
bin101111110000100111010010…
…1010001101001010100010000
32001002102221220022112111110110
41133201032211101221110100
5420030340313134233001
64045250135051001320
7154326031403136510
oct13741164521512420
92032387808474413
10420097819055376
11111946536a24860
123b149931739240
1315054092552037
1475a4bb3009840
153387a959e83d6
hex17e13a5469510

420097819055376 has 80 divisors (see below), whose sum is σ = 1353042326320128. Its totient is φ = 109116316636800.

The previous prime is 420097819055303. The next prime is 420097819055407. The reversal of 420097819055376 is 673550918790024.

It is a happy number.

It is a super-3 number, since 3×4200978190553763 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 56831411220 + ... + 56831418611.

It is a 4-persistent number, because k⋅420097819055376 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2420097819055376 is an apocalyptic number.

It is an amenable number.

420097819055376 is an abundant number, since it is smaller than the sum of its proper divisors (932944507264752).

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

420097819055376 is a wasteful number, since it uses less digits than its factorization.

420097819055376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113662829860 (or 113662829854 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 420097819055376 in words is "four hundred twenty trillion, ninety-seven billion, eight hundred nineteen million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 113662829831 227325659662 340988489493 454651319324 681976978986 795639808817 909302638648 1250291128141 1363953957972 1591279617634 1818605277296 2386919426451 2500582256282 2727907915944 3182559235268 3750873384423 4773838852902 5001164512564 5455815831888 6365118470536 7501746768846 8752037896987 9547677705804 10002329025128 12730236941072 15003493537692 17504075793974 19095355411608 20004658050256 26256113690961 30006987075384 35008151587948 38190710823216 52512227381922 60013974150768 70016303175896 105024454763844 140032606351792 210048909527688 420097819055376