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10024422144 = 283112107873
BaseRepresentation
bin10010101011000000…
…01000101100000000
3221212121201102000020
421111200020230000
5131012223002034
64334414053440
7503262116352
oct112540105400
927777642006
1010024422144
114284585800
121b391aa280
13c39a8b649
146b14bd0d2
153da0d4249
hex255808b00

10024422144 has 108 divisors (see below), whose sum is σ = 29325762648. Its totient is φ = 3037675520.

The previous prime is 10024422131. The next prime is 10024422169. The reversal of 10024422144 is 44122442001.

It is a super-2 number, since 2×100244221442 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38992 + ... + 146864.

Almost surely, 210024422144 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 10024422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662881324).

10024422144 is an abundant number, since it is smaller than the sum of its proper divisors (19301340504).

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

10024422144 is a wasteful number, since it uses less digits than its factorization.

10024422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107914 (or 107889 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10024422144 its reverse (44122442001), we get a palindrome (54146864145).

The spelling of 10024422144 in words is "ten billion, twenty-four million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 107873 215746 323619 431492 647238 862984 1186603 1294476 1725968 2373206 2588952 3451936 3559809 4746412 5177904 6903872 7119618 9492824 10355808 13052633 13807744 14239236 18985648 20711616 26105266 27615488 28478472 37971296 39157899 41423232 52210532 56956944 75942592 78315798 82846464 104421064 113913888 151885184 156631596 208842128 227827776 303770368 313263192 417684256 455655552 626526384 835368512 911311104 1253052768 1670737024 2506105536 3341474048 5012211072 10024422144