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2014422010432 = 26137183410857
BaseRepresentation
bin11101010100000100111…
…010001000101001000000
321010120120112101220000121
4131110010322020221000
5231001014013313212
64141225050430024
7265352153366506
oct35240472105100
97116515356017
102014422010432
11707347788777
122864a9a32314
13117c61420060
146d6da01a676
15375ee1c0d07
hex1d504e88a40

2014422010432 has 112 divisors (see below), whose sum is σ = 4418097409152. Its totient is φ = 905592360960.

The previous prime is 2014422010429. The next prime is 2014422010439. The reversal of 2014422010432 is 2340102244102.

It is a super-2 number, since 2×20144220104322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014422010397 and 2014422010406.

It is not an unprimeable number, because it can be changed into a prime (2014422010439) 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, 4697548 + ... + 5108404.

It is an arithmetic number, because the mean of its divisors is an integer number (39447298296).

Almost surely, 22014422010432 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 2014422010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209048704576).

2014422010432 is an abundant number, since it is smaller than the sum of its proper divisors (2403675398720).

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

2014422010432 is a wasteful number, since it uses less digits than its factorization.

2014422010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411036 (or 411026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2014422010432 its reverse (2340102244102), we get a palindrome (4354524254534).

The spelling of 2014422010432 in words is "two trillion, fourteen billion, four hundred twenty-two million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 83 104 142 166 208 284 332 416 568 664 832 923 1079 1136 1328 1846 2158 2272 2656 3692 4316 4544 5312 5893 7384 8632 11786 14768 17264 23572 29536 34528 47144 59072 69056 76609 94288 153218 188576 306436 377152 410857 612872 821714 1225744 1643428 2451488 3286856 4902976 5341141 6573712 10682282 13147424 21364564 26294848 29170847 34101131 42729128 58341694 68202262 85458256 116683388 136404524 170916512 233366776 272809048 341833024 379221011 443314703 466733552 545618096 758442022 886629406 933467104 1091236192 1516884044 1773258812 1866934208 2182472384 2421180301 3033768088 3546517624 4842360602 6067536176 7093035248 9684721204 12135072352 14186070496 19369442408 24270144704 28372140992 31475343913 38738884816 62950687826 77477769632 125901375652 154955539264 251802751304 503605502608 1007211005216 2014422010432