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1143433442144 = 25722943151719
BaseRepresentation
bin10000101000111001111…
…100011011001101100000
311001022101211202020102002
4100220321330123031200
5122213222430122034
62233141442543132
7145416226615520
oct20507174331540
94038354666362
101143433442144
11400a22406a24
12165731667aa8
1383a962922b6
143d4b1a69680
151eb23ae8e7e
hex10a39f1b360

1143433442144 has 96 divisors (see below), whose sum is σ = 2590005196800. Its totient is φ = 486761541120.

The previous prime is 1143433442141. The next prime is 1143433442171. The reversal of 1143433442144 is 4412443343411.

It is a happy number.

It is a super-2 number, since 2×11434334421442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1143433442098 and 1143433442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143433442141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22082717 + ... + 22134435.

It is an arithmetic number, because the mean of its divisors is an integer number (26979220800).

Almost surely, 21143433442144 is an apocalyptic number.

1143433442144 is a gapful number since it is divisible by the number (14) 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 1143433442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295002598400).

1143433442144 is an abundant number, since it is smaller than the sum of its proper divisors (1446571754656).

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

1143433442144 is a wasteful number, since it uses less digits than its factorization.

1143433442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52396 (or 52388 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

Adding to 1143433442144 its reverse (4412443343411), we get a palindrome (5555876785555).

The spelling of 1143433442144 in words is "one trillion, one hundred forty-three billion, four hundred thirty-three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 431 458 862 916 1603 1724 1832 3017 3206 3448 3664 6034 6412 6896 7328 12068 12824 13792 24136 25648 48272 51296 51719 96544 98699 103438 197398 206876 362033 394796 413752 690893 724066 789592 827504 1381786 1448132 1579184 1655008 2763572 2896264 3158368 5527144 5792528 11054288 11585056 11843651 22108576 22290889 23687302 44581778 47374604 82905557 89163556 94749208 156036223 165811114 178327112 189498416 312072446 331622228 356654224 378996832 624144892 663244456 713308448 1248289784 1326488912 2496579568 2652977824 4993159136 5104613581 10209227162 20418454324 35732295067 40836908648 71464590134 81673817296 142929180268 163347634592 285858360536 571716721072 1143433442144