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11400031301040 = 2433510152255369
BaseRepresentation
bin1010010111100100011011…
…0100001110110110110000
31111100211110210010022021000
42211321012310032312300
52443234231003113130
640125034014402000
72254424255142114
oct245710664166660
944324423108230
1011400031301040
1136a57a9520238
12134149b500300
136490313a1605
142b5a9b965744
1514b81abd7260
hexa5e46d0edb0

11400031301040 has 160 divisors (see below), whose sum is σ = 39655555185600. Its totient is φ = 3009909196800.

The previous prime is 11400031301017. The next prime is 11400031301083. The reversal of 11400031301040 is 4010313000411.

11400031301040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×114000313010403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 25909525 + ... + 26345844.

It is an arithmetic number, because the mean of its divisors is an integer number (247847219910).

Almost surely, 211400031301040 is an apocalyptic number.

11400031301040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400031301040 is an abundant number, since it is smaller than the sum of its proper divisors (28255523884560).

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

11400031301040 is a wasteful number, since it uses less digits than its factorization.

11400031301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52255492 (or 52255480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11400031301040 its reverse (4010313000411), we get a palindrome (15410344301451).

The spelling of 11400031301040 in words is "eleven trillion, four hundred billion, thirty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 404 432 505 540 606 720 808 909 1010 1080 1212 1515 1616 1818 2020 2160 2424 2727 3030 3636 4040 4545 4848 5454 6060 7272 8080 9090 10908 12120 13635 14544 18180 21816 24240 27270 36360 43632 54540 72720 109080 218160 52255369 104510738 156766107 209021476 261276845 313532214 418042952 470298321 522553690 627064428 783830535 836085904 940596642 1045107380 1254128856 1410894963 1567661070 1881193284 2090214760 2351491605 2508257712 2821789926 3135322140 3762386568 4180429520 4702983210 5277792269 5643579852 6270644280 7054474815 7524773136 9405966420 10555584538 11287159704 12541288560 14108949630 15833376807 18811932840 21111169076 22574319408 26388961345 28217899260 31666753614 37623865680 42222338152 47500130421 52777922690 56435798520 63333507228 79166884035 84444676304 95000260842 105555845380 112871597040 126667014456 142500391263 158333768070 190000521684 211111690760 237500652105 253334028912 285000782526 316667536140 380001043368 422223381520 475001304210 570001565052 633335072280 712501956315 760002086736 950002608420 1140003130104 1266670144560 1425003912630 1900005216840 2280006260208 2850007825260 3800010433680 5700015650520 11400031301040