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2334333400144 = 242331247782609
BaseRepresentation
bin100001111110000001000…
…111001111010001010000
322021011022201010022112221
4201332001013033101100
5301221203322301034
64544213350030424
7330435646342054
oct41760107172120
98234281108487
102334333400144
1181aa92391849
123184ab648414
1313c185470065
1480da7779c64
1540ac4945bb4
hex21f811cf450

2334333400144 has 80 divisors (see below), whose sum is σ = 4873678064640. Its totient is φ = 1079957514240.

The previous prime is 2334333400129. The next prime is 2334333400153. The reversal of 2334333400144 is 4410043334332.

It is a super-2 number, since 2×23343334001442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28216312 + ... + 28298920.

It is an arithmetic number, because the mean of its divisors is an integer number (60920975808).

Almost surely, 22334333400144 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 2334333400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436839032320).

2334333400144 is an abundant number, since it is smaller than the sum of its proper divisors (2539344664496).

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

2334333400144 is a wasteful number, since it uses less digits than its factorization.

2334333400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85148 (or 85142 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 2334333400144 its reverse (4410043334332), we get a palindrome (6744376734476).

The spelling of 2334333400144 in words is "two trillion, three hundred thirty-four billion, three hundred thirty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2477 2852 4954 5704 9908 11408 19816 39632 56971 76787 82609 113942 153574 165218 227884 307148 330436 455768 614296 660872 911536 1228592 1321744 1766101 1900007 2560879 3532202 3800014 5121758 7064404 7600028 10243516 14128808 15200056 20487032 28257616 30400112 40974064 58900217 117800434 204622493 235600868 409244986 471201736 818489972 942403472 1636979944 3273959888 4706317339 6343297283 9412634678 12686594566 18825269356 25373189132 37650538712 50746378264 75301077424 101492756528 145895837509 291791675018 583583350036 1167166700072 2334333400144