Search a number
-
+
13124204034440 = 23519971131715731
BaseRepresentation
bin1011111011111011011110…
…0001001111100110001000
31201110122212100022012212012
42332332313201033212020
53210011332213100230
643525102012035052
72523123003440102
oct276766741174610
951418770265765
1013124204034440
1141aaa42037144
12157b685462a88
137427b7b31915
14335301834572
1517b5cd767395
hexbefb784f988

13124204034440 has 128 divisors (see below), whose sum is σ = 31408862486400. Its totient is φ = 4921362800640.

The previous prime is 13124204034433. The next prime is 13124204034467. The reversal of 13124204034440 is 4443040242131.

It is a super-2 number, since 2×131242040344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13124204034397 and 13124204034406.

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, 834281375 + ... + 834297105.

It is an arithmetic number, because the mean of its divisors is an integer number (245381738175).

Almost surely, 213124204034440 is an apocalyptic number.

13124204034440 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 13124204034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704431243200).

13124204034440 is an abundant number, since it is smaller than the sum of its proper divisors (18284658451960).

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

13124204034440 is a wasteful number, since it uses less digits than its factorization.

13124204034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27175 (or 27171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13124204034440 its reverse (4443040242131), we get a palindrome (17567244276571).

The spelling of 13124204034440 in words is "thirteen trillion, one hundred twenty-four billion, two hundred four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 11317 14744 15731 18430 22634 31462 36860 45268 56585 62924 73720 78655 90536 113170 125848 157310 215023 226340 298889 314620 430046 452680 597778 629240 860092 1075115 1097749 1195556 1494445 1525907 1720184 2150230 2195498 2391112 2988890 3051814 4300460 4390996 5488745 5977780 6103628 7629535 8600920 8781992 10977490 11955560 12207256 15259070 20857231 21954980 28992233 30518140 41714462 43909960 57984466 61036280 83428924 104286155 115968932 144961165 166857848 178027727 208572310 231937864 289922330 356055454 417144620 579844660 712110908 834289240 890138635 1159689320 1424221816 1780277270 3382526813 3560554540 6765053626 7121109080 13530107252 16912634065 17268689519 27060214504 33825268130 34537379038 67650536260 69074758076 86343447595 135301072520 138149516152 172686895190 328105100861 345373790380 656210201722 690747580760 1312420403444 1640525504305 2624840806888 3281051008610 6562102017220 13124204034440