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13202034440 = 2357417914557
BaseRepresentation
bin11000100101110011…
…10000111100001000
31021002001221211121112
430102321300330020
5204014210100230
610022005225452
7645105304220
oct142271607410
937061854545
1013202034440
115665227971
122685402288
1313251bbcca
148d351b080
1552405dd95
hex312e70f08

13202034440 has 128 divisors (see below), whose sum is σ = 35218713600. Its totient is φ = 4359813120.

The previous prime is 13202034421. The next prime is 13202034457. The reversal of 13202034440 is 4443020231.

It is a super-2 number, since 2×132020344402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899642 + ... + 914198.

It is an arithmetic number, because the mean of its divisors is an integer number (275146200).

Almost surely, 213202034440 is an apocalyptic number.

13202034440 is a gapful number since it is divisible by the number (10) 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 13202034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609356800).

13202034440 is an abundant number, since it is smaller than the sum of its proper divisors (22016679160).

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

13202034440 is a wasteful number, since it uses less digits than its factorization.

13202034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 13202034440 its reverse (4443020231), we get a palindrome (17645054671).

The spelling of 13202034440 in words is "thirteen billion, two hundred two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 79 82 140 158 164 205 280 287 316 328 395 410 553 574 632 790 820 1106 1148 1435 1580 1640 2212 2296 2765 2870 3160 3239 4424 5530 5740 6478 11060 11480 12956 14557 16195 22120 22673 25912 29114 32390 45346 58228 64780 72785 90692 101899 113365 116456 129560 145570 181384 203798 226730 291140 407596 453460 509495 582280 596837 815192 906920 1018990 1150003 1193674 2037980 2300006 2387348 2984185 4075960 4177859 4600012 4774696 5750015 5968370 8050021 8355718 9200024 11500030 11936740 16100042 16711436 20889295 23000060 23873480 32200084 33422872 40250105 41778590 46000120 47150123 64400168 80500210 83557180 94300246 161000420 167114360 188600492 235750615 322000840 330050861 377200984 471501230 660101722 943002460 1320203444 1650254305 1886004920 2640406888 3300508610 6601017220 13202034440