Search a number
-
+
15434004404 = 227131711232221
BaseRepresentation
bin11100101111111000…
…00011011110110100
31110211121210122210202
432113330003132310
5223102101120104
611031300140032
71054316605250
oct162774033664
943747718722
1015434004404
116600102a45
122ba8997618
1315bc7351b0
14a65b1b260
15604e9351e
hex397f037b4

15434004404 has 96 divisors (see below), whose sum is σ = 35245115136. Its totient is φ = 5738895360.

The previous prime is 15434004401. The next prime is 15434004427. The reversal of 15434004404 is 40440043451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15434004401) 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, 6948014 + ... + 6950234.

It is an arithmetic number, because the mean of its divisors is an integer number (367136616).

Almost surely, 215434004404 is an apocalyptic number.

15434004404 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 15434004404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622557568).

15434004404 is an abundant number, since it is smaller than the sum of its proper divisors (19811110732).

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

15434004404 is a wasteful number, since it uses less digits than its factorization.

15434004404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 15434004404 its reverse (40440043451), we get a palindrome (55874047855).

The spelling of 15434004404 in words is "fifteen billion, four hundred thirty-four million, four thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1123 1547 2221 2246 3094 4442 4492 6188 7861 8884 14599 15547 15722 19091 28873 29198 31094 31444 37757 38182 57746 58396 62188 75514 76364 102193 115492 133637 151028 202111 204386 248183 264299 267274 404222 408772 490841 496366 528598 534548 808444 981682 992732 1057196 1737281 1963364 2494183 3435887 3474562 4988366 6871774 6949124 9976732 13743548 17459281 32424379 34918562 42401111 64848758 69837124 84802222 129697516 169604444 226970653 296807777 453941306 551214443 593615554 907882612 1102428886 1187231108 2204857772 3858501101 7717002202 15434004404