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13302535154440 = 2357314733323801
BaseRepresentation
bin1100000110010011110011…
…1000011110101100001000
31202002201011112202202010111
43001210330320132230020
53220422042444420230
644143033354524104
72542035136106620
oct301447470365410
952081145682114
1013302535154440
114269634331054
1215aa154136634
13756567aa45bc
1433dbbbb29880
151810696b792a
hexc193ce1eb08

13302535154440 has 128 divisors (see below), whose sum is σ = 35317524510720. Its totient is φ = 4412798208000.

The previous prime is 13302535154369. The next prime is 13302535154443. The reversal of 13302535154440 is 4445153520331.

It is a super-2 number, since 2×133025351544402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13302535154393 and 13302535154402.

It is not an unprimeable number, because it can be changed into a prime (13302535154443) 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, 40920540 + ... + 41244340.

It is an arithmetic number, because the mean of its divisors is an integer number (275918160240).

Almost surely, 213302535154440 is an apocalyptic number.

13302535154440 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 13302535154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658762255360).

13302535154440 is an abundant number, since it is smaller than the sum of its proper divisors (22014989356280).

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

13302535154440 is a wasteful number, since it uses less digits than its factorization.

13302535154440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328583 (or 328579 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 13302535154440 its reverse (4445153520331), we get a palindrome (17747688674771).

The spelling of 13302535154440 in words is "thirteen trillion, three hundred two billion, five hundred thirty-five million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 4733 8680 9466 18932 23665 33131 37864 47330 66262 94660 132524 146723 165655 189320 265048 293446 323801 331310 586892 647602 662620 733615 1027061 1173784 1295204 1325240 1467230 1619005 2054122 2266607 2590408 2934460 3238010 4108244 4533214 5135305 5868920 6476020 8216488 9066428 10037831 10270610 11333035 12952040 18132856 20075662 20541220 22666070 40151324 41082440 45332140 50189155 70264817 80302648 90664280 100378310 140529634 200756620 281059268 351324085 401513240 562118536 702648170 1405296340 1532550133 2810592680 3065100266 6130200532 7662750665 10727850931 12260401064 15325501330 21455701862 30651002660 42911403724 47509054123 53639254655 61302005320 85822807448 95018108246 107278509310 190036216492 214557018620 237545270615 332563378861 380072432984 429114037240 475090541230 665126757722 950181082460 1330253515444 1662816894305 1900362164920 2660507030888 3325633788610 6651267577220 13302535154440