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1111232442440 = 235834335631373
BaseRepresentation
bin10000001010111010100…
…111010111000001001000
310221020021200212222001102
4100022322213113001020
5121201301001124230
62210254303440532
7143166242625101
oct20127247270110
93836250788042
101111232442440
113992a882027a
1215b4455b6148
1380a33c08813
143bad91a33a8
151dd8bb57045
hex102ba9d7048

1111232442440 has 128 divisors (see below), whose sum is σ = 2542596013440. Its totient is φ = 437026738176.

The previous prime is 1111232442371. The next prime is 1111232442469. The reversal of 1111232442440 is 442442321111.

It is a super-2 number, since 2×11112324424402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809345594 + ... + 809346966.

It is an arithmetic number, because the mean of its divisors is an integer number (19864031355).

Almost surely, 21111232442440 is an apocalyptic number.

1111232442440 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 1111232442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271298006720).

1111232442440 is an abundant number, since it is smaller than the sum of its proper divisors (1431363571000).

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

1111232442440 is a wasteful number, since it uses less digits than its factorization.

1111232442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1111232442440 its reverse (442442321111), we get a palindrome (1553674763551).

The spelling of 1111232442440 in words is "one trillion, one hundred eleven billion, two hundred thirty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 433 563 664 830 866 1126 1373 1660 1732 2165 2252 2746 2815 3320 3464 4330 4504 5492 5630 6865 8660 10984 11260 13730 17320 22520 27460 35939 46729 54920 71878 93458 113959 143756 179695 186916 227918 233645 243779 287512 359390 373832 455836 467290 487558 569795 594509 718780 772999 911672 934580 975116 1139590 1189018 1218895 1437560 1545998 1869160 1950232 2279180 2378036 2437790 2972545 3091996 3864995 4558360 4756072 4875580 5945090 6183992 7729990 9751160 11890180 15459980 20233657 23780360 30919960 40467314 49344247 64158917 80934628 98688494 101168285 128317834 161869256 197376988 202336570 246721235 256635668 320794585 334708567 394753976 404673140 493442470 513271336 641589170 669417134 809346280 986884940 1283178340 1338834268 1673542835 1973769880 2566356680 2677668536 3347085670 6694171340 13388342680 27780811061 55561622122 111123244244 138904055305 222246488488 277808110610 555616221220 1111232442440