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10030004355144 = 23359611131027613
BaseRepresentation
bin1001000111110100101011…
…0110001100000001001000
31022111212012020201102100010
42101331022312030001020
52303312422103331034
633155415334311520
72053433600222334
oct221751266140110
938455166642303
1010030004355144
113217778a82144
12115ba701b85a0
13579a963b6a17
14269651d8c7c4
15125d8412c3e9
hex91f4ad8c048

10030004355144 has 128 divisors (see below), whose sum is σ = 26147432707200. Its totient is φ = 3204176424960.

The previous prime is 10030004355101. The next prime is 10030004355149. The reversal of 10030004355144 is 44155340003001.

It is not an unprimeable number, because it can be changed into a prime (10030004355149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9246682 + ... + 10274294.

It is an arithmetic number, because the mean of its divisors is an integer number (204276818025).

Almost surely, 210030004355144 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 10030004355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073716353600).

10030004355144 is an abundant number, since it is smaller than the sum of its proper divisors (16117428352056).

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

10030004355144 is a wasteful number, since it uses less digits than its factorization.

10030004355144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027855 (or 1027851 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10030004355144 its reverse (44155340003001), we get a palindrome (54185344358145).

The spelling of 10030004355144 in words is "ten trillion, thirty billion, four million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 61 113 118 122 177 183 226 236 244 339 354 366 452 472 488 678 708 732 904 1356 1416 1464 2712 3599 6667 6893 7198 10797 13334 13786 14396 20001 20679 21594 26668 27572 28792 40002 41358 43188 53336 55144 80004 82716 86376 160008 165432 406687 813374 1027613 1220061 1626748 2055226 2440122 3082839 3253496 4110452 4880244 6165678 8220904 9760488 12331356 24662712 60629167 62684393 116120269 121258334 125368786 181887501 188053179 232240538 242516668 250737572 348360807 363775002 376106358 464481076 485033336 501475144 696721614 727550004 752212716 928962152 1393443228 1455100008 1504425432 2786886456 3698379187 6851095871 7083336409 7396758374 11095137561 13702191742 14166672818 14793516748 20553287613 21250009227 22190275122 27404383484 28333345636 29587033496 41106575226 42500018454 44380550244 54808766968 56666691272 82213150452 85000036908 88761100488 164426300904 170000073816 417916848131 835833696262 1253750544393 1671667392524 2507501088786 3343334785048 5015002177572 10030004355144