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11242411040 = 255722362347
BaseRepresentation
bin10100111100001100…
…11001010000100000
31002000111120122200002
422132012121100200
5141011024123130
65055323515132
7545411626400
oct123606312040
932014518602
1011242411040
11484a0588a3
122219088aa8
1310a2210a33
14789172800
1545bec4b45
hex29e199420

11242411040 has 144 divisors (see below), whose sum is σ = 32240400192. Its totient is φ = 3686893056.

The previous prime is 11242411031. The next prime is 11242411043. The reversal of 11242411040 is 4011424211.

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

It is not an unprimeable number, because it can be changed into a prime (11242411043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149147 + ... + 211493.

It is an arithmetic number, because the mean of its divisors is an integer number (223891668).

Almost surely, 211242411040 is an apocalyptic number.

11242411040 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 11242411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120200096).

11242411040 is an abundant number, since it is smaller than the sum of its proper divisors (20997989152).

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

11242411040 is a wasteful number, since it uses less digits than its factorization.

11242411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62399 (or 62384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11242411040 its reverse (4011424211), we get a palindrome (15253835251).

The spelling of 11242411040 in words is "eleven billion, two hundred forty-two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 322 368 392 460 490 560 644 736 784 805 920 980 1120 1127 1288 1568 1610 1840 1960 2254 2576 3220 3680 3920 4508 5152 5635 6440 7840 9016 11270 12880 18032 22540 25760 36064 45080 62347 90160 124694 180320 249388 311735 436429 498776 623470 872858 997552 1246940 1433981 1745716 1995104 2182145 2493880 2867962 3055003 3491432 4364290 4987760 5735924 6110006 6982864 7169905 8728580 9975520 10037867 11471848 12220012 13965728 14339810 15275015 17457160 20075734 22943696 24440024 28679620 30550030 34914320 40151468 45887392 48880048 50189335 57359240 61100060 69828640 70265069 80302936 97760096 100378670 114718480 122200120 140530138 160605872 200757340 229436960 244400240 281060276 321211744 351325345 401514680 488800480 562120552 702650690 803029360 1124241104 1405301380 1606058720 2248482208 2810602760 5621205520 11242411040