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42235837160 = 235113110932833
BaseRepresentation
bin100111010101011100…
…111011101011101000
311001000111011211111012
4213111130323223220
51142444333242120
631223004323052
73023433456326
oct472534735350
9131014154435
1042235837160
1116a04035650
128228843488
133ca1350a2a
1420894d6d16
151172e321c5
hex9d573bae8

42235837160 has 128 divisors (see below), whose sum is σ = 107149685760. Its totient is φ = 14844211200.

The previous prime is 42235837159. The next prime is 42235837177. The reversal of 42235837160 is 6173853224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14907104 + ... + 14909936.

It is an arithmetic number, because the mean of its divisors is an integer number (837106920).

Almost surely, 242235837160 is an apocalyptic number.

42235837160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42235837160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53574842880).

42235837160 is an abundant number, since it is smaller than the sum of its proper divisors (64913848600).

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

42235837160 is a wasteful number, since it uses less digits than its factorization.

42235837160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 42235837160 in words is "forty-two billion, two hundred thirty-five million, eight hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1093 1240 1364 1705 2186 2728 2833 3410 4372 5465 5666 6820 8744 10930 11332 12023 13640 14165 21860 22664 24046 28330 31163 33883 43720 48092 56660 60115 62326 67766 87823 96184 113320 120230 124652 135532 155815 169415 175646 240460 249304 271064 311630 338830 351292 372713 439115 480920 623260 677660 702584 745426 878230 966053 1246520 1355320 1490852 1756460 1863565 1932106 2981704 3096469 3512920 3727130 3864212 4830265 6192938 7454260 7728424 9660530 12385876 14908520 15482345 19321060 24771752 30964690 34061159 38642120 61929380 68122318 95990539 123858760 136244636 170305795 191981078 272489272 340611590 383962156 479952695 681223180 767924312 959905390 1055895929 1362446360 1919810780 2111791858 3839621560 4223583716 5279479645 8447167432 10558959290 21117918580 42235837160