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10412420014032 = 2433723772466491
BaseRepresentation
bin1001011110000101010010…
…0110001001111111010000
31100212102021110020201002220
42113201110212021333100
52331044114010422112
634051222201141040
72123162321541621
oct227412446117720
940772243221086
1010412420014032
113354978712823
121201bb648a780
135a6b6b95959a
1427dd6ca03a48
15130cb6dc598c
hex97854989fd0

10412420014032 has 80 divisors (see below), whose sum is σ = 27637378302912. Its totient is φ = 3375579018240.

The previous prime is 10412420013901. The next prime is 10412420014039. The reversal of 10412420014032 is 23041002421401.

It is a super-2 number, since 2×104124200140322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10412420013993 and 10412420014011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412420014039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988307 + ... + 5454797.

Almost surely, 210412420014032 is an apocalyptic number.

10412420014032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412420014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818689151456).

10412420014032 is an abundant number, since it is smaller than the sum of its proper divisors (17224958288880).

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

10412420014032 is a wasteful number, since it uses less digits than its factorization.

10412420014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468916 (or 2468910 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10412420014032 its reverse (23041002421401), we get a palindrome (33453422435433).

The spelling of 10412420014032 in words is "ten trillion, four hundred twelve billion, four hundred twenty million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2377 4754 7131 9508 14262 19016 28524 38032 57048 87949 114096 175898 263847 351796 527694 703592 1055388 1407184 2110776 2466491 4221552 4932982 7399473 9865964 14798946 19731928 29597892 39463856 59195784 91260167 118391568 182520334 273780501 365040668 547561002 730081336 1095122004 1460162672 2190244008 4380488016 5862849107 11725698214 17588547321 23451396428 35177094642 46902792856 70354189284 93805585712 140708378568 216925416959 281416757136 433850833918 650776250877 867701667836 1301552501754 1735403335672 2603105003508 3470806671344 5206210007016 10412420014032