Search a number
-
+
13104440201424 = 24311136412978401
BaseRepresentation
bin1011111010110001110110…
…0000001101000011010000
31201101202211222011110210210
42332230131200031003100
53204200343142421144
643512032520324120
72521523146562505
oct276543540150320
951352758143723
1013104440201424
1141a261a952950
12157788a613640
13740988365280
14334388a674ac
1517ad235ebab9
hexbeb1d80d0d0

13104440201424 has 160 divisors (see below), whose sum is σ = 39833577237888. Its totient is φ = 3659857920000.

The previous prime is 13104440201423. The next prime is 13104440201429. The reversal of 13104440201424 is 42410204440131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13104440201391 and 13104440201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104440201423) 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, 2910624 + ... + 5889024.

Almost surely, 213104440201424 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 13104440201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916788618944).

13104440201424 is an abundant number, since it is smaller than the sum of its proper divisors (26729137036464).

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

13104440201424 is a wasteful number, since it uses less digits than its factorization.

13104440201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979077 (or 2979071 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 13104440201424 its reverse (42410204440131), we get a palindrome (55514644641555).

The spelling of 13104440201424 in words is "thirteen trillion, one hundred four billion, four hundred forty million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 641 858 1144 1282 1716 1923 2288 2564 3432 3846 5128 6864 7051 7692 8333 10256 14102 15384 16666 21153 24999 28204 30768 33332 42306 49998 56408 66664 84612 91663 99996 112816 133328 169224 183326 199992 274989 338448 366652 399984 549978 733304 1099956 1466608 2199912 2978401 4399824 5956802 8935203 11913604 17870406 23827208 32762411 35740812 38719213 47654416 65524822 71481624 77438426 98287233 116157639 131049644 142963248 154876852 196574466 232315278 262099288 309753704 393148932 425911343 464630556 524198576 619507408 786297864 851822686 929261112 1277734029 1572595728 1703645372 1858522224 1909155041 2555468058 3407290744 3818310082 5110936116 5727465123 6814581488 7636620164 10221872232 11454930246 15273240328 20443744464 21000705451 22909860492 24819015533 30546480656 42001410902 45819720984 49638031066 63002116353 74457046599 84002821804 91639441968 99276062132 126004232706 148914093198 168005643608 198552124264 252008465412 273009170863 297828186396 336011287216 397104248528 504016930824 546018341726 595656372792 819027512589 1008033861648 1092036683452 1191312745584 1638055025178 2184073366904 3276110050356 4368146733808 6552220100712 13104440201424