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424231001403440 = 24571168868669059
BaseRepresentation
bin110000001110101011111101…
…0001001000011000000110000
32001122002002100220022110212112
41200131113322021003000300
5421101100042324402230
64102133010452544452
7155233451456340650
oct14035277211030060
92048062326273775
10424231001403440
1111319a3a2681780
123b6b6988022128
1315293a7262038a
1476a8c66326360
15340a34ddc9d95
hex181d5fa243030

424231001403440 has 80 divisors (see below), whose sum is σ = 1229718954735360. Its totient is φ = 132227844591360.

The previous prime is 424231001403431. The next prime is 424231001403449. The reversal of 424231001403440 is 44304100132424.

It is an interprime number because it is at equal distance from previous prime (424231001403431) and next prime (424231001403449).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4242310014034402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424231001403397 and 424231001403406.

It is not an unprimeable number, because it can be changed into a prime (424231001403449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34434328370 + ... + 34434340689.

It is an arithmetic number, because the mean of its divisors is an integer number (15371486934192).

Almost surely, 2424231001403440 is an apocalyptic number.

424231001403440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424231001403440 is an abundant number, since it is smaller than the sum of its proper divisors (805487953331920).

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

424231001403440 is a wasteful number, since it uses less digits than its factorization.

424231001403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68868669090 (or 68868669084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 424231001403440 its reverse (44304100132424), we get a palindrome (468535101535864).

The spelling of 424231001403440 in words is "four hundred twenty-four trillion, two hundred thirty-one billion, one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 68868669059 137737338118 275474676236 344343345295 482080683413 550949352472 688686690590 757555359649 964161366826 1101898704944 1377373381180 1515110719298 1928322733652 2410403417065 2754746762360 3030221438596 3787776798245 3856645467304 4820806834130 5302887517543 5509493524720 6060442877192 7575553596490 7713290934608 9641613668260 10605775035086 12120885754384 15151107192980 19283227336520 21211550070172 26514437587715 30302214385960 38566454673040 42423100140344 53028875175430 60604428771920 84846200280688 106057750350860 212115500701720 424231001403440