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1301113440 = 253251182141
BaseRepresentation
bin100110110001101…
…0110101001100000
310100200021102002200
41031203112221200
510131041112230
6333035213200
744146165434
oct11543265140
93320242080
101301113440
11608498870
123038a7200
13179737a13
14c4b309c4
1579360160
hex4d8d6a60

1301113440 has 144 divisors (see below), whose sum is σ = 4843749456. Its totient is φ = 315417600.

The previous prime is 1301113439. The next prime is 1301113453. The reversal of 1301113440 is 443111031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25231 + ... + 56910.

It is an arithmetic number, because the mean of its divisors is an integer number (33637149).

Almost surely, 21301113440 is an apocalyptic number.

1301113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301113440 is an abundant number, since it is smaller than the sum of its proper divisors (3542636016).

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

1301113440 is a wasteful number, since it uses less digits than its factorization.

1301113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82173 (or 82162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1301113440 is about 36070.9500845209. The cubic root of 1301113440 is about 1091.7043840150.

Adding to 1301113440 its reverse (443111031), we get a palindrome (1744224471).

The spelling of 1301113440 in words is "one billion, three hundred one million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 82141 164282 246423 328564 410705 492846 657128 739269 821410 903551 985692 1232115 1314256 1478538 1642820 1807102 1971384 2464230 2628512 2710653 2957076 3285640 3614204 3696345 3942768 4517755 4928460 5421306 5914152 6571280 7228408 7392690 7885536 8131959 9035510 9856920 10842612 11828304 13142560 13553265 14456816 14785380 16263918 18071020 19713840 21685224 23656608 27106530 28913632 29570760 32527836 36142040 39427680 40659795 43370448 54213060 59141520 65055672 72284080 81319590 86740896 108426120 118283040 130111344 144568160 162639180 216852240 260222688 325278360 433704480 650556720 1301113440