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42232344100040 = 23512728329376161
BaseRepresentation
bin10011001101000111110111…
…10111100011110011001000
312112112101001200012001220002
421212203323313203303020
521013413320042200130
6225453134313422132
711616120566601413
oct1146437367436310
9175471050161802
1042232344100040
1112502700282146
1248a0ab270a948
131a74654059023
14a600b0922b7a
154d386097ab45
hex2668fbde3cc8

42232344100040 has 64 divisors (see below), whose sum is σ = 96109401692160. Its totient is φ = 16700699473920.

The previous prime is 42232344100039. The next prime is 42232344100069. The reversal of 42232344100040 is 4000144323224.

It is a junction number, because it is equal to n+sod(n) for n = 42232344099976 and 42232344100012.

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, 13250441 + ... + 16125720.

It is an arithmetic number, because the mean of its divisors is an integer number (1501709401440).

Almost surely, 242232344100040 is an apocalyptic number.

42232344100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232344100040 is an abundant number, since it is smaller than the sum of its proper divisors (53877057592120).

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

42232344100040 is a wasteful number, since it uses less digits than its factorization.

42232344100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29376582 (or 29376578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42232344100040 its reverse (4000144323224), we get a palindrome (46232488423264).

The spelling of 42232344100040 in words is "forty-two trillion, two hundred thirty-two billion, three hundred forty-four million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 283 508 566 635 1016 1132 1270 1415 2264 2540 2830 5080 5660 11320 35941 71882 143764 179705 287528 359410 718820 1437640 29376161 58752322 117504644 146880805 235009288 293761610 587523220 1175046440 3730772447 7461544894 8313453563 14923089788 16626907126 18653862235 29846179576 33253814252 37307724470 41567267815 66507628504 74615448940 83134535630 149230897880 166269071260 332538142520 1055808602501 2111617205002 4223234410004 5279043012505 8446468820008 10558086025010 21116172050020 42232344100040