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424434000242010 = 235113759958032019
BaseRepresentation
bin110000010000001010011110…
…1110100001010010101011010
32001122210111100020102221112010
41200200110331310022111122
5421112411313030221020
64102410142110330350
7155254226123112363
oct14040247564122532
92048714306387463
10424434000242010
111132684a318a760
123b72a19bab99b6
13152a9c54008235
1476b4a027cab6a
153410780763de0
hex182053dd0a55a

424434000242010 has 128 divisors (see below), whose sum is σ = 1143184368384000. Its totient is φ = 99945062680320.

The previous prime is 424434000241921. The next prime is 424434000242033. The reversal of 424434000242010 is 10242000434424.

It is a super-3 number, since 3×4244340002420103 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21702220 + ... + 36329799.

It is an arithmetic number, because the mean of its divisors is an integer number (8931127878000).

Almost surely, 2424434000242010 is an apocalyptic number.

424434000242010 is an abundant number, since it is smaller than the sum of its proper divisors (718750368141990).

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

424434000242010 is a wasteful number, since it uses less digits than its factorization.

424434000242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58032676.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 424434000242010 its reverse (10242000434424), we get a palindrome (434676000676434).

The spelling of 424434000242010 in words is "four hundred twenty-four trillion, four hundred thirty-four billion, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 599 814 1110 1198 1221 1797 2035 2442 2995 3594 4070 5990 6105 6589 8985 12210 13178 17970 19767 22163 32945 39534 44326 65890 66489 98835 110815 132978 197670 221630 243793 332445 487586 664890 731379 1218965 1462758 2437930 3656895 7313790 58032019 116064038 174096057 290160095 348192114 580320190 638352209 870480285 1276704418 1740960570 1915056627 2147184703 3191761045 3830113254 4294369406 6383522090 6441554109 9575283135 10735923515 12883108218 19150566270 21471847030 23619031733 32207770545 34761179381 47238063466 64415541090 69522358762 70857095199 104283538143 118095158665 141714190398 173805896905 208567076286 236190317330 347611793810 354285475995 382372973191 521417690715 708570951990 764745946382 1042835381430 1147118919573 1286163637097 1911864865955 2294237839146 2572327274194 3823729731910 3858490911291 5735594597865 6430818185485 7716981822582 11471189195730 12861636370970 14147800008067 19292454556455 28295600016134 38584909112910 42443400024201 70739000040335 84886800048402 141478000080670 212217000121005 424434000242010