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130022140424004 = 2232171315472964881
BaseRepresentation
bin11101100100000100100011…
…011111100010111101000100
3122001100222212112010100202200
4131210010203133202331010
5114020240320422032004
61140311202520034500
736246534564204543
oct3544044337427504
9561328775110680
10130022140424004
113847a097665504
12126bb1b3902a30
13577205c5324aa
14241716885415a
1510072931b4239
hex7641237e2f44

130022140424004 has 144 divisors (see below), whose sum is σ = 351298099728576. Its totient is φ = 40405859020800.

The previous prime is 130022140423999. The next prime is 130022140424039. The reversal of 130022140424004 is 400424041220031.

130022140424004 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 214 + 0 + 42 + 400 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42371644 + ... + 45336524.

It is an arithmetic number, because the mean of its divisors is an integer number (2439570137004).

Almost surely, 2130022140424004 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 130022140424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175649049864288).

130022140424004 is an abundant number, since it is smaller than the sum of its proper divisors (221275959304572).

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

130022140424004 is a wasteful number, since it uses less digits than its factorization.

130022140424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965586 (or 2965581 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130022140424004 its reverse (400424041220031), we get a palindrome (530446181644035).

The spelling of 130022140424004 in words is "one hundred thirty trillion, twenty-two billion, one hundred forty million, four hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 547 612 786 1094 1179 1572 1641 2188 2227 2358 3282 4454 4716 4923 6564 6681 8908 9299 9846 13362 18598 19692 20043 26724 27897 37196 40086 55794 71657 80172 83691 111588 143314 167382 214971 286628 334764 429942 644913 859884 1218169 1289826 2436338 2579652 2964881 3654507 4872676 5929762 7309014 8894643 10963521 11859524 14618028 17789286 21927042 26683929 35578572 43854084 50402977 53367858 100805954 106735716 151208931 201611908 302417862 388399411 453626793 604835724 776798822 907253586 1165198233 1553597644 1621789907 1814507172 2330396466 3243579814 3495594699 4660792932 4865369721 6487159628 6602789987 6991189398 9730739442 13205579974 13982378796 14596109163 19461478884 19808369961 26411159948 27570428419 29192218326 39616739922 55140856838 58384436652 59425109883 79233479844 82711285257 110281713676 118850219766 165422570514 212454477817 237700439532 248133855771 330845141028 424908955634 496267711542 637363433451 849817911268 992535423084 1274726866902 1912090300353 2549453733804 3611726122889 3824180600706 7223452245778 7648361201412 10835178368667 14446904491556 21670356737334 32505535106001 43340713474668 65011070212002 130022140424004