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2440426315072 = 26971313119649
BaseRepresentation
bin100011100000110100101…
…111100101110101000000
322122022011111122210210111
4203200310233211311000
5304440443114040242
65105041045241104
7341213016261664
oct43406457456500
98568144583714
102440426315072
11860a85040029
12334b79a03194
1314919237b1b5
148618dab48a4
1543733a1d817
hex23834be5d40

2440426315072 has 112 divisors (see below), whose sum is σ = 4946359017600. Its totient is φ = 1194437836800.

The previous prime is 2440426315051. The next prime is 2440426315087. The reversal of 2440426315072 is 2705136240442.

It is a super-2 number, since 2×24404263150722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 252915304 + ... + 252924952.

It is an arithmetic number, because the mean of its divisors is an integer number (44163919800).

Almost surely, 22440426315072 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 2440426315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473179508800).

2440426315072 is an abundant number, since it is smaller than the sum of its proper divisors (2505932702528).

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

2440426315072 is a wasteful number, since it uses less digits than its factorization.

2440426315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 2440426315072 in words is "two trillion, four hundred forty billion, four hundred twenty-six million, three hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 97 131 194 262 311 388 524 622 776 1048 1244 1552 2096 2488 3104 4192 4976 6208 8384 9649 9952 12707 19298 19904 25414 30167 38596 40741 50828 60334 77192 81482 101656 120668 154384 162964 203312 241336 308768 325928 406624 482672 617536 651856 813248 935953 965344 1264019 1303712 1871906 1930688 2528038 2607424 3000839 3743812 3951877 5056076 6001678 7487624 7903754 10112152 12003356 14975248 15807508 20224304 24006712 29950496 31615016 40448608 48013424 59900992 63230032 80897216 96026848 122609843 126460064 192053696 245219686 252920128 291081383 393109909 490439372 582162766 786219818 980878744 1164325532 1572439636 1961757488 2328651064 3144879272 3923514976 4657302128 6289758544 7847029952 9314604256 12579517088 18629208512 25159034176 38131661173 76263322346 152526644692 305053289384 610106578768 1220213157536 2440426315072