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13130323440 = 2435134208437
BaseRepresentation
bin11000011101010000…
…01101010111110000
31020220002000112121120
430032220031113300
5203342330322230
610010524222240
7643244623233
oct141650152760
936802015546
1013130323440
1156287a8383
12266539a980
1313133a1770
148c7bb141a
1551cae6310
hex30ea0d5f0

13130323440 has 80 divisors (see below), whose sum is σ = 43835090208. Its totient is φ = 3232078848.

The previous prime is 13130323433. The next prime is 13130323457. The reversal of 13130323440 is 4432303131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13130323440.

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, 2101099 + ... + 2107338.

Almost surely, 213130323440 is an apocalyptic number.

13130323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130323440 is an abundant number, since it is smaller than the sum of its proper divisors (30704766768).

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

13130323440 is a wasteful number, since it uses less digits than its factorization.

13130323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208466 (or 4208460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13130323440 its reverse (4432303131), we get a palindrome (17562626571).

The spelling of 13130323440 in words is "thirteen billion, one hundred thirty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4208437 8416874 12625311 16833748 21042185 25250622 33667496 42084370 50501244 54709681 63126555 67334992 84168740 101002488 109419362 126253110 164129043 168337480 202004976 218838724 252506220 273548405 328258086 336674960 437677448 505012440 547096810 656516172 820645215 875354896 1010024880 1094193620 1313032344 1641290430 2188387240 2626064688 3282580860 4376774480 6565161720 13130323440