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13434043420 = 22576111313921
BaseRepresentation
bin11001000001011101…
…10011110000011100
31021200020112010002201
430200232303300130
5210003103342140
610101014101244
7653623325230
oct144056636034
937606463081
1013434043420
115774192726
12272b04a824
1313612a2825
149162725c0
155395dc49a
hex320bb3c1c

13434043420 has 96 divisors (see below), whose sum is σ = 33062633856. Its totient is φ = 4490035200.

The previous prime is 13434043387. The next prime is 13434043429. The reversal of 13434043420 is 2434043431.

It is a super-2 number, since 2×134340434202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434043429) 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, 958060 + ... + 971980.

It is an arithmetic number, because the mean of its divisors is an integer number (344402436).

Almost surely, 213434043420 is an apocalyptic number.

13434043420 is a gapful number since it is divisible by the number (10) 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 13434043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531316928).

13434043420 is an abundant number, since it is smaller than the sum of its proper divisors (19628590436).

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

13434043420 is a wasteful number, since it uses less digits than its factorization.

13434043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13434043420 its reverse (2434043431), we get a palindrome (15868086851).

The spelling of 13434043420 in words is "thirteen billion, four hundred thirty-four million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 113 122 140 226 244 305 427 452 565 610 791 854 1130 1220 1582 1708 2135 2260 3164 3955 4270 6893 7910 8540 13786 13921 15820 27572 27842 34465 48251 55684 68930 69605 96502 97447 137860 139210 193004 194894 241255 278420 389788 482510 487235 849181 965020 974470 1573073 1698362 1948940 3146146 3396724 4245905 5944267 6292292 7865365 8491810 11011511 11888534 15730730 16983620 22023022 23777068 29721335 31461460 44046044 55057555 59442670 95957453 110115110 118885340 191914906 220230220 383829812 479787265 671702171 959574530 1343404342 1919149060 2686808684 3358510855 6717021710 13434043420