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21141500325440 = 265118636959569
BaseRepresentation
bin1001100111010011000111…
…00111011110111001000000
32202212002220111201020110212
410303221203213132321000
510232340243040403230
6112544134323413252
74311265041501605
oct463514347367100
982762814636425
1021141500325440
116811072859850
122455445824228
13ba4833c189a1
1453137b27c6ac
15269e13dce895
hex133a639dee40

21141500325440 has 112 divisors (see below), whose sum is σ = 54983498181120. Its totient is φ = 7678908948480.

The previous prime is 21141500325433. The next prime is 21141500325443. The reversal of 21141500325440 is 4452300514112.

It is a super-2 number, since 2×211415003254402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 21141500325397 and 21141500325406.

It is not an unprimeable number, because it can be changed into a prime (21141500325443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442025 + ... + 6517544.

Almost surely, 221141500325440 is an apocalyptic number.

21141500325440 is a gapful number since it is divisible by the number (20) 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 21141500325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27491749090560).

21141500325440 is an abundant number, since it is smaller than the sum of its proper divisors (33841997855680).

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

21141500325440 is a wasteful number, since it uses less digits than its factorization.

21141500325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960460 (or 6960450 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 21141500325440 its reverse (4452300514112), we get a palindrome (25593800839552).

The spelling of 21141500325440 in words is "twenty-one trillion, one hundred forty-one billion, five hundred million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 863 880 1726 1760 3452 3520 4315 6904 8630 9493 13808 17260 18986 27616 34520 37972 47465 55232 69040 75944 94930 138080 151888 189860 276160 303776 379720 607552 759440 1518880 3037760 6959569 13919138 27838276 34797845 55676552 69595690 76555259 111353104 139191380 153110518 222706208 278382760 306221036 382776295 445412416 556765520 612442072 765552590 1113531040 1224884144 1531105180 2227062080 2449768288 3062210360 4899536576 6006108047 6124420720 12012216094 12248841440 24024432188 24497682880 30030540235 48048864376 60061080470 66067188517 96097728752 120122160940 132134377034 192195457504 240244321880 264268754068 330335942585 384390915008 480488643760 528537508136 660671885170 960977287520 1057075016272 1321343770340 1921954575040 2114150032544 2642687540680 4228300065088 5285375081360 10570750162720 21141500325440