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24143421422144 = 2653139109746679
BaseRepresentation
bin1010111110101010101000…
…00011101011101001000000
310011111002101112212100011202
411133111110003223221000
511131031211341002034
6123203200143000332
75041206330013013
oct537252403535100
9104432345770152
1024143421422144
117769192a7a952
12285b1a6b990a8
13106193a757aab
145d679537137a
152bd05c0ec47e
hex15f5540eba40

24143421422144 has 112 divisors (see below), whose sum is σ = 49210604956800. Its totient is φ = 11747763695616.

The previous prime is 24143421422143. The next prime is 24143421422149. The reversal of 24143421422144 is 44122412434142.

It is a junction number, because it is equal to n+sod(n) for n = 24143421422098 and 24143421422107.

It is not an unprimeable number, because it can be changed into a prime (24143421422143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517198997 + ... + 517245675.

It is an arithmetic number, because the mean of its divisors is an integer number (439380401400).

Almost surely, 224143421422144 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 24143421422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605302478400).

24143421422144 is an abundant number, since it is smaller than the sum of its proper divisors (25067183534656).

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

24143421422144 is a wasteful number, since it uses less digits than its factorization.

24143421422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47980 (or 47970 counting only the distinct ones).

The product of its digits is 196608, while the sum is 38.

Adding to 24143421422144 its reverse (44122412434142), we get a palindrome (68265833856286).

The spelling of 24143421422144 in words is "twenty-four trillion, one hundred forty-three billion, four hundred twenty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 139 212 278 424 556 848 1097 1112 1696 2194 2224 3392 4388 4448 7367 8776 8896 14734 17552 29468 35104 46679 58141 58936 70208 93358 116282 117872 152483 186716 232564 235744 304966 373432 465128 471488 609932 746864 930256 1219864 1493728 1860512 2439728 2473987 2987456 3721024 4879456 4947974 6488381 8081599 9758912 9895948 12976762 16163198 19791896 25953524 32326396 39583792 51206863 51907048 64652792 79167584 102413726 103814096 129305584 158335168 204827452 207628192 258611168 343884193 409654904 415256384 517222336 687768386 819309808 1375536772 1638619616 2713963739 2751073544 3277239232 5427927478 5502147088 7117753957 10855854956 11004294176 14235507914 21711709912 22008588352 28471015828 43423419824 56942031656 86846839648 113884063312 173693679296 227768126624 377240959721 455536253248 754481919442 1508963838884 3017927677768 6035855355536 12071710711072 24143421422144