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11421213144 = 23311294334693
BaseRepresentation
bin10101010001100000…
…11110000111011000
31002110222000202001020
422220300132013120
5141342312310034
65125152122440
7553012465335
oct125060360730
932428022036
1011421213144
114930a82530
122268b36420
1311002855b3
147a4bd798c
1546ca43249
hex2a8c1e1d8

11421213144 has 128 divisors (see below), whose sum is σ = 32973177600. Its totient is φ = 3263823360.

The previous prime is 11421213137. The next prime is 11421213149. The reversal of 11421213144 is 44131212411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421213149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311862 + ... + 346554.

It is an arithmetic number, because the mean of its divisors is an integer number (257602950).

Almost surely, 211421213144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11421213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16486588800).

11421213144 is an abundant number, since it is smaller than the sum of its proper divisors (21551964456).

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

11421213144 is a wasteful number, since it uses less digits than its factorization.

11421213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34785 (or 34781 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11421213144 its reverse (44131212411), we get a palindrome (55552425555).

The spelling of 11421213144 in words is "eleven billion, four hundred twenty-one million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 43 44 58 66 86 87 88 116 129 132 172 174 232 258 264 319 344 348 473 516 638 696 946 957 1032 1247 1276 1419 1892 1914 2494 2552 2838 3741 3784 3828 4988 5676 7482 7656 9976 11352 13717 14964 27434 29928 34693 41151 54868 69386 82302 104079 109736 138772 164604 208158 277544 329208 381623 416316 763246 832632 1006097 1144869 1491799 1526492 2012194 2289738 2983598 3018291 3052984 4024388 4475397 4579476 5967196 6036582 8048776 8950794 9158952 11067067 11934392 12073164 16409789 17901588 22134134 24146328 32819578 33201201 35803176 43262171 44268268 49229367 65639156 66402402 86524342 88536536 98458734 129786513 131278312 132804804 173048684 196917468 259573026 265609608 346097368 393834936 475883881 519146052 951767762 1038292104 1427651643 1903535524 2855303286 3807071048 5710606572 11421213144