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424140122114240 = 2657316108008671
BaseRepresentation
bin110000001110000001101000…
…1010100000100100011000000
32001121202101210100220020201112
41200130003101110010203000
5421043102432230123430
64102023140542222452
7155224053422205020
oct14034032124044300
92047671710806645
10424140122114240
111131648a76946a4
123b6a1244884a28
131528831b5a653c
1476a46c473da80
153407cd0763195
hex181c0d15048c0

424140122114240 has 112 divisors (see below), whose sum is σ = 1191501467664384. Its totient is φ = 140728519756800.

The previous prime is 424140122114237. The next prime is 424140122114299. The reversal of 424140122114240 is 42411221041424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4241401221142402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 424140122114197 and 424140122114206.

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, 3053934896 + ... + 3054073775.

Almost surely, 2424140122114240 is an apocalyptic number.

424140122114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424140122114240 is an abundant number, since it is smaller than the sum of its proper divisors (767361345550144).

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

424140122114240 is a wasteful number, since it uses less digits than its factorization.

424140122114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108008726 (or 6108008716 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 424140122114240 its reverse (42411221041424), we get a palindrome (466551343155664).

The spelling of 424140122114240 in words is "four hundred twenty-four trillion, one hundred forty billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 69440 6108008671 12216017342 24432034684 30540043355 42756060697 48864069368 61080086710 85512121394 97728138736 122160173420 171024242788 189348268801 195456277472 213780303485 244320346840 342048485576 378696537602 390912554944 427560606970 488640693680 684096971152 757393075204 855121213940 946741344005 977281387360 1325437881607 1368193942304 1514786150408 1710242427880 1893482688010 1954562774720 2650875763214 2736387884608 3029572300816 3420484855760 3786965376020 5301751526428 6059144601632 6627189408035 6840969711520 7573930752040 10603503052856 12118289203264 13254378816070 13681939423040 15147861504080 21207006105712 26508757632140 30295723008160 42414012211424 53017515264280 60591446016320 84828024422848 106035030528560 212070061057120 424140122114240