Search a number
-
+
13104400403024 = 247736772367487
BaseRepresentation
bin1011111010110001101100…
…1000011000101001010000
31201101202202012021111122222
42332230123020120221100
53204200303000344044
643512024535320212
72521522154364260
oct276543310305120
951352665244588
1013104400403024
1141a25aa43a807
121577879220068
1374098003c418
143343836677a0
1517ad1ed898ee
hexbeb1b218a50

13104400403024 has 80 divisors (see below), whose sum is σ = 29457838768128. Its totient is φ = 5531053372416.

The previous prime is 13104400402991. The next prime is 13104400403089. The reversal of 13104400403024 is 42030400440131.

It is a junction number, because it is equal to n+sod(n) for n = 13104400402984 and 13104400403002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4351409 + ... + 6718895.

Almost surely, 213104400403024 is an apocalyptic number.

13104400403024 is a gapful number since it is divisible by the number (14) 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 13104400403024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728919384064).

13104400403024 is an abundant number, since it is smaller than the sum of its proper divisors (16353438365104).

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

13104400403024 is a wasteful number, since it uses less digits than its factorization.

13104400403024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368252 (or 2368246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13104400403024 its reverse (42030400440131), we get a palindrome (55134800843155).

The spelling of 13104400403024 in words is "thirteen trillion, one hundred four billion, four hundred million, four hundred three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 677 1022 1168 1354 2044 2708 4088 4739 5416 8176 9478 10832 18956 37912 49421 75824 98842 197684 345947 395368 691894 790736 1383788 2367487 2767576 4734974 5535152 9469948 16572409 18939896 33144818 37879792 66289636 132579272 172826551 265158544 345653102 691306204 1209785857 1382612408 1602788699 2419571714 2765224816 3205577398 4839143428 6411154796 9678286856 11219520893 12822309592 19356573712 22439041786 25644619184 44878083572 89756167144 117003575027 179512334288 234007150054 468014300108 819025025189 936028600216 1638050050378 1872057200432 3276100100756 6552200201512 13104400403024