Search a number
-
+
414126346062 = 231113787613297
BaseRepresentation
bin1100000011010111101…
…10101000111101001110
31110120221011210002210010
412001223312220331032
523241112321033222
6514125204454050
741630302601262
oct6015366507516
91416834702703
10414126346062
1114a6a2587270
12683160aa326
133008a1867b0
14160883680a2
15ab8bb8780c
hex606bda8f4e

414126346062 has 64 divisors (see below), whose sum is σ = 974290109184. Its totient is φ = 115692157440.

The previous prime is 414126346037. The next prime is 414126346069. The reversal of 414126346062 is 260643621414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 414126346062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414126346069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368598 + ... + 981894.

It is an arithmetic number, because the mean of its divisors is an integer number (15223282956).

Almost surely, 2414126346062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414126346062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487145054592).

414126346062 is an abundant number, since it is smaller than the sum of its proper divisors (560163763122).

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

414126346062 is a wasteful number, since it uses less digits than its factorization.

414126346062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614113.

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 414126346062 its reverse (260643621414), we get a palindrome (674769967476).

The spelling of 414126346062 in words is "four hundred fourteen billion, one hundred twenty-six million, three hundred forty-six thousand, sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 787 858 1574 2361 4722 8657 10231 17314 20462 25971 30693 51942 61386 112541 225082 337623 613297 675246 1226594 1839891 3679782 6746267 7972861 13492534 15945722 20238801 23918583 40477602 47837166 87701471 175402942 263104413 482664739 526208826 965329478 1447994217 2895988434 5309312129 6274641607 10618624258 12549283214 15927936387 18823924821 31855872774 37647849642 69021057677 138042115354 207063173031 414126346062