Search a number
-
+
421456654124 = 221127920035503
BaseRepresentation
bin1100010001000001100…
…01100010111100101100
31111021212001001100001022
412020200301202330230
523401120400412444
6521340422433312
742310042310642
oct6104061427454
91437761040038
10421456654124
11152814326200
1269820b92838
1330987a3c79c
1416581b07192
15ae6a49a9ee
hex6220c62f2c

421456654124 has 72 divisors (see below), whose sum is σ = 821515591680. Its totient is φ = 189017468640.

The previous prime is 421456654093. The next prime is 421456654169.

421456654124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4214566541242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 76583957 + ... + 76589459.

Almost surely, 2421456654124 is an apocalyptic number.

421456654124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421456654124 is a deficient number, since it is larger than the sum of its proper divisors (400058937556).

421456654124 is a wasteful number, since it uses less digits than its factorization.

421456654124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611 (or 7598 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 421456654124 in words is "four hundred twenty-one billion, four hundred fifty-six million, six hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 79 121 158 242 316 484 869 1738 2003 3476 4006 5503 8012 9559 11006 19118 22012 22033 38236 44066 60533 88132 121066 158237 242132 242363 316474 434737 484726 632948 665863 869474 969452 1331726 1738948 1740607 2663452 3481214 4782107 6962428 9564214 11022509 19128428 19146677 22045018 38293354 44090036 52603177 76586708 105206354 121247599 210412708 242495198 484990396 870778211 1333723589 1741556422 2667447178 3483112844 5334894356 9578560321 19157120642 38314241284 105364163531 210728327062 421456654124