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42100222103440 = 2452373313432267
BaseRepresentation
bin10011001001010001110001…
…10010001000111110010000
312112001202000212100020011121
421210220320302020332100
521004232223324302230
6225312324112452024
711603432515264144
oct1144507062107620
9175052025306147
1042100222103440
1112461670910616
12487b37b24a014
131a65059664507
14a579396c3224
154d01cb6a777a
hex264a38c88f90

42100222103440 has 80 divisors (see below), whose sum is σ = 103537961682048. Its totient is φ = 15887254699008.

The previous prime is 42100222103399. The next prime is 42100222103473. The reversal of 42100222103440 is 4430122200124.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156581814 + ... + 156850453.

Almost surely, 242100222103440 is an apocalyptic number.

42100222103440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100222103440 is an abundant number, since it is smaller than the sum of its proper divisors (61437739578608).

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

42100222103440 is a wasteful number, since it uses less digits than its factorization.

42100222103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313432376 (or 313432370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42100222103440 its reverse (4430122200124), we get a palindrome (46530344303564).

The spelling of 42100222103440 in words is "forty-two trillion, one hundred billion, two hundred twenty-two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 73 80 92 115 146 184 230 292 365 368 460 584 730 920 1168 1460 1679 1840 2920 3358 5840 6716 8395 13432 16790 26864 33580 67160 134320 313432267 626864534 1253729068 1567161335 2507458136 3134322670 5014916272 6268645340 7208942141 12537290680 14417884282 22880555491 25074581360 28835768564 36044710705 45761110982 57671537128 72089421410 91522221964 114402777455 115343074256 144178842820 183044443928 228805554910 288357685640 366088887856 457611109820 526252776293 576715371280 915222219640 1052505552586 1830444439280 2105011105172 2631263881465 4210022210344 5262527762930 8420044420688 10525055525860 21050111051720 42100222103440