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11314043440 = 2457671511997
BaseRepresentation
bin10101000100101111…
…01001101000110000
31002012111100221211221
422202113221220300
5141132343342230
65110403114424
7550241532250
oct124227515060
932174327757
1011314043440
114886534327
122239072a14
1310b400157b
1479489b960
1546342427a
hex2a25e9a30

11314043440 has 160 divisors (see below), whose sum is σ = 30729176064. Its totient is φ = 3793996800.

The previous prime is 11314043423. The next prime is 11314043453. The reversal of 11314043440 is 4434041311.

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, 5664522 + ... + 5666518.

Almost surely, 211314043440 is an apocalyptic number.

11314043440 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 11314043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364588032).

11314043440 is an abundant number, since it is smaller than the sum of its proper divisors (19415132624).

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

11314043440 is a wasteful number, since it uses less digits than its factorization.

11314043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11314043440 its reverse (4434041311), we get a palindrome (15748084751).

The spelling of 11314043440 in words is "eleven billion, three hundred fourteen million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 151 268 280 302 335 469 536 560 604 670 755 938 1057 1072 1208 1340 1510 1876 1997 2114 2345 2416 2680 3020 3752 3994 4228 4690 5285 5360 6040 7504 7988 8456 9380 9985 10117 10570 12080 13979 15976 16912 18760 19970 20234 21140 27958 31952 37520 39940 40468 42280 50585 55916 69895 70819 79880 80936 84560 101170 111832 133799 139790 141638 159760 161872 202340 223664 267598 279580 283276 301547 354095 404680 535196 559160 566552 603094 668995 708190 809360 936593 1070392 1118320 1133104 1206188 1337990 1416380 1507735 1873186 2110829 2140784 2412376 2675980 2832760 3015470 3746372 4221658 4682965 4824752 5351960 5665520 6030940 7492744 8443316 9365930 10554145 10703920 12061880 14985488 16886632 18731860 20203649 21108290 24123760 33773264 37463720 40407298 42216580 74927440 80814596 84433160 101018245 141425543 161629192 168866320 202036490 282851086 323258384 404072980 565702172 707127715 808145960 1131404344 1414255430 1616291920 2262808688 2828510860 5657021720 11314043440