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42023401000 = 2353741146423
BaseRepresentation
bin100111001000110010…
…100011011000101000
311000110200102221212021
4213020302203120220
51142030442313000
631145535154224
73015244005040
oct471062433050
9130420387767
1042023401000
1116905129179
128189675974
133c69331069
1420691d8720
15115e46d11a
hex9c8ca3628

42023401000 has 128 divisors (see below), whose sum is σ = 115124405760. Its totient is φ = 14056512000.

The previous prime is 42023400973. The next prime is 42023401067. The reversal of 42023401000 is 10432024.

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, 213789 + ... + 360211.

It is an arithmetic number, because the mean of its divisors is an integer number (899409420).

Almost surely, 242023401000 is an apocalyptic number.

42023401000 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 42023401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57562202880).

42023401000 is an abundant number, since it is smaller than the sum of its proper divisors (73101004760).

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

42023401000 is a wasteful number, since it uses less digits than its factorization.

42023401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146492 (or 146478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42023401000 its reverse (10432024), we get a palindrome (42033833024).

The spelling of 42023401000 in words is "forty-two billion, twenty-three million, four hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 574 700 820 875 1000 1025 1148 1400 1435 1640 1750 2050 2296 2870 3500 4100 5125 5740 7000 7175 8200 10250 11480 14350 20500 28700 35875 41000 57400 71750 143500 146423 287000 292846 585692 732115 1024961 1171384 1464230 2049922 2928460 3660575 4099844 5124805 5856920 6003343 7321150 8199688 10249610 12006686 14642300 18302875 20499220 24013372 25624025 29284600 30016715 36605750 40998440 42023401 48026744 51248050 60033430 73211500 84046802 102496100 120066860 128120125 146423000 150083575 168093604 204992200 210117005 240133720 256240250 300167150 336187208 420234010 512480500 600334300 750417875 840468020 1024961000 1050585025 1200668600 1500835750 1680936040 2101170050 3001671500 4202340100 5252925125 6003343000 8404680200 10505850250 21011700500 42023401000