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11312341040 = 24571113141263
BaseRepresentation
bin10101000100100010…
…01010000000110000
31002012101011110121002
422202101022000300
5141131424403130
65110302421132
7550221212060
oct124221120060
932171143532
1011312341040
114885581290
1222385917a8
1310b3856730
147945773a0
154631d9b45
hex2a244a030

11312341040 has 160 divisors (see below), whose sum is σ = 35313739776. Its totient is φ = 3254676480.

The previous prime is 11312341013. The next prime is 11312341063. The reversal of 11312341040 is 4014321311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9449 + ... + 150711.

Almost surely, 211312341040 is an apocalyptic number.

11312341040 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 11312341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656869888).

11312341040 is an abundant number, since it is smaller than the sum of its proper divisors (24001398736).

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

11312341040 is a wasteful number, since it uses less digits than its factorization.

11312341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141307 (or 141301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11312341040 its reverse (4014321311), we get a palindrome (15326662351).

The spelling of 11312341040 in words is "eleven billion, three hundred twelve million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 141263 282526 565052 706315 988841 1130104 1412630 1553893 1836419 1977682 2260208 2825260 3107786 3672838 3955364 4944205 5650520 6215572 7345676 7769465 7910728 9182095 9888410 10877251 11301040 12431144 12854933 14691352 15538930 15821456 18364190 19776820 20200609 21754502 24862288 25709866 29382704 31077860 36728380 39553640 40401218 43509004 51419732 54386255 62155720 64274665 73456760 79107280 80802436 87018008 101003045 102839464 108772510 124311440 128549330 141404263 146913520 161604872 174036016 202006090 205678928 217545020 257098660 282808526 323209744 404012180 435090040 514197320 565617052 707021315 808024360 870180080 1028394640 1131234104 1414042630 1616048720 2262468208 2828085260 5656170520 11312341040