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414244114428 = 223198927175329
BaseRepresentation
bin1100000011100101101…
…11111000111111111100
31110121020101101100121110
412001302313320333330
523241332443130203
6514145013002020
741633232606264
oct6016267707774
91417211340543
10414244114428
1114a7530043a1
1268349623310
13300a86aba11
1416099c627a4
15ab9719bd03
hex6072df8ffc

414244114428 has 96 divisors (see below), whose sum is σ = 1032683904000. Its totient is φ = 128865116160.

The previous prime is 414244114373. The next prime is 414244114429. The reversal of 414244114428 is 824411442414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414244114429) 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, 5461468 + ... + 5536796.

It is an arithmetic number, because the mean of its divisors is an integer number (10757124000).

Almost surely, 2414244114428 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 414244114428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516341952000).

414244114428 is an abundant number, since it is smaller than the sum of its proper divisors (618439789572).

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

414244114428 is a wasteful number, since it uses less digits than its factorization.

414244114428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75715 (or 75713 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The spelling of 414244114428 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 271 356 534 542 813 1068 1084 1626 1691 3252 3382 5073 5149 6764 10146 10298 15447 20292 20596 24119 30894 48238 61788 72357 75329 96476 144714 150658 225987 289428 301316 451974 458261 903948 916522 1374783 1431251 1833044 2749566 2862502 4293753 5499132 5725004 6704281 8587506 13408562 17175012 20112843 20414159 26817124 40225686 40828318 61242477 80451372 81656636 122484954 127381339 244969908 254762678 382144017 387869021 509525356 764288034 775738042 1163607063 1528576068 1551476084 1816860151 2327214126 3633720302 4654428252 5450580453 7267440604 10901160906 21802321812 34520342869 69040685738 103561028607 138081371476 207122057214 414244114428