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11033031440 = 2452931153407
BaseRepresentation
bin10100100011001111…
…01011001100010000
31001110220121001212002
422101213223030100
5140043424001230
65022444053132
7540260135264
oct122147531420
931426531762
1011033031440
114751949902
12217ab341a8
13106aa21392
1476942c0a4
15448916545
hex2919eb310

11033031440 has 80 divisors (see below), whose sum is σ = 27392532480. Its totient is φ = 4123553280.

The previous prime is 11033031421. The next prime is 11033031463. The reversal of 11033031440 is 4413033011.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4784 + ... + 148623.

It is an arithmetic number, because the mean of its divisors is an integer number (342406656).

Almost surely, 211033031440 is an apocalyptic number.

11033031440 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 11033031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696266240).

11033031440 is an abundant number, since it is smaller than the sum of its proper divisors (16359501040).

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

11033031440 is a wasteful number, since it uses less digits than its factorization.

11033031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153480 (or 153474 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11033031440 its reverse (4413033011), we get a palindrome (15446064451).

The spelling of 11033031440 in words is "eleven billion, thirty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1798 2320 2480 3596 4495 7192 8990 14384 17980 35960 71920 153407 306814 613628 767035 1227256 1534070 2454512 3068140 4448803 4755617 6136280 8897606 9511234 12272560 17795212 19022468 22244015 23778085 35590424 38044936 44488030 47556170 71180848 76089872 88976060 95112340 137912893 177952120 190224680 275825786 355904240 380449360 551651572 689564465 1103303144 1379128930 2206606288 2758257860 5516515720 11033031440