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11024343040 = 2135299281
BaseRepresentation
bin10100100010001101…
…00010000000000000
31001110022020122121111
422101012202000000
5140034212434130
65021533533104
7540123240544
oct122106420000
931408218544
1011024343040
114747a55107
122178044194
131068c9b809
14768209a24
15447c9c02a
hex2911a2000

11024343040 has 112 divisors (see below), whose sum is σ = 27372061080. Its totient is φ = 4257218560.

The previous prime is 11024343019. The next prime is 11024343059. The reversal of 11024343040 is 4034342011.

It can be written as a sum of positive squares in 4 ways, for example, as 10472656896 + 551686144 = 102336^2 + 23488^2 .

It is a super-2 number, since 2×110243430402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183200 + ... + 1192480.

Almost surely, 211024343040 is an apocalyptic number.

11024343040 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 11024343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686030540).

11024343040 is an abundant number, since it is smaller than the sum of its proper divisors (16347718040).

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

11024343040 is an frugal number, since it uses more digits than its factorization.

11024343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11024343040 its reverse (4034342011), we get a palindrome (15058685051).

The spelling of 11024343040 in words is "eleven billion, twenty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2048 2320 2560 3712 4096 4640 5120 7424 8192 9280 9281 10240 14848 18560 18562 20480 29696 37120 37124 40960 46405 59392 74240 74248 92810 118784 148480 148496 185620 237568 269149 296960 296992 371240 538298 593920 593984 742480 1076596 1187840 1187968 1345745 1484960 2153192 2375936 2691490 2969920 4306384 4751872 5382980 5939840 8612768 9503744 10765960 11879680 17225536 19007488 21531920 23759360 34451072 38014976 43063840 47518720 68902144 76029952 86127680 95037440 137804288 172255360 190074880 275608576 344510720 380149760 551217152 689021440 1102434304 1378042880 2204868608 2756085760 5512171520 11024343040