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13042215424 = 29731111701
BaseRepresentation
bin11000010010110000…
…00110101000000000
31020122221020012010201
430021120012220000
5203202301343144
65554055534544
7641125000450
oct141130065000
936587205121
1013042215424
115592a99537
12263b98a454
1312cb062a44
148ba1d7d60
15514ee01d4
hex309606a00

13042215424 has 80 divisors (see below), whose sum is σ = 29879980416. Its totient is φ = 5571072000.

The previous prime is 13042215419. The next prime is 13042215449. The reversal of 13042215424 is 42451224031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13042215392 and 13042215401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1108774 + ... + 1120474.

Almost surely, 213042215424 is an apocalyptic number.

13042215424 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 13042215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939990208).

13042215424 is an abundant number, since it is smaller than the sum of its proper divisors (16837764992).

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

13042215424 is an equidigital number, since it uses as much as digits as its factorization.

13042215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 13042215424 its reverse (42451224031), we get a palindrome (55493439455).

The spelling of 13042215424 in words is "thirteen billion, forty-two million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 311 448 512 622 896 1244 1792 2177 2488 3584 4354 4976 8708 9952 11701 17416 19904 23402 34832 39808 46804 69664 79616 81907 93608 139328 159232 163814 187216 278656 327628 374432 557312 655256 748864 1114624 1310512 1497728 2621024 2995456 3639011 5242048 5990912 7278022 10484096 14556044 20968192 25473077 29112088 41936384 50946154 58224176 101892308 116448352 203784616 232896704 407569232 465793408 815138464 931586816 1630276928 1863173632 3260553856 6521107712 13042215424