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42233402414000 = 245375741525461
BaseRepresentation
bin10011001101001001110101…
…11100101101001110110000
312112112110210102120222201102
421212210322330231032300
521013423002004222000
6225453431321023532
711616156040245020
oct1146447274551660
9175473712528642
1042233402414000
11125030a3705086
1248a1149024ba8
131a747923a28c5
14a601712cda80
154d38c382a3d5
hex26693af2d3b0

42233402414000 has 160 divisors (see below), whose sum is σ = 116729542081152. Its totient is φ = 14477473920000.

The previous prime is 42233402413999. The next prime is 42233402414023. The reversal of 42233402414000 is 41420433224.

It is a super-2 number, since 2×422334024140002 (a number of 28 digits) contains 22 as substring.

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, 80111270 + ... + 80636730.

Almost surely, 242233402414000 is an apocalyptic number.

42233402414000 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 42233402414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58364771040576).

42233402414000 is an abundant number, since it is smaller than the sum of its proper divisors (74496139667152).

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

42233402414000 is a wasteful number, since it uses less digits than its factorization.

42233402414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531232 (or 531216 counting only the distinct ones).

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

Adding to 42233402414000 its reverse (41420433224), we get a palindrome (42274822847224).

The spelling of 42233402414000 in words is "forty-two trillion, two hundred thirty-three billion, four hundred two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 5741 7000 11482 14000 22964 28705 40187 45928 57410 80374 91856 114820 143525 160748 200935 229640 287050 321496 401870 459280 525461 574100 642992 717625 803740 1004675 1050922 1148200 1435250 1607480 2009350 2101844 2296400 2627305 2870500 3214960 3678227 4018700 4203688 5023375 5254610 5741000 7356454 8037400 8407376 10046750 10509220 11482000 13136525 14712908 16074800 18391135 20093500 21018440 26273050 29425816 36782270 40187000 42036880 52546100 58851632 65682625 73564540 80374000 91955675 105092200 131365250 147129080 183911350 210184400 262730500 294258160 367822700 459778375 525461000 735645400 919556750 1050922000 1471290800 1839113500 3016671601 3678227000 6033343202 7356454000 12066686404 15083358005 21116701207 24133372808 30166716010 42233402414 48266745616 60333432020 75416790025 84466804828 105583506035 120666864040 150833580050 168933609656 211167012070 241333728080 301667160100 337867219312 377083950125 422334024140 527917530175 603334320200 754167900250 844668048280 1055835060350 1206668640400 1508335800500 1689336096560 2111670120700 2639587650875 3016671601000 4223340241400 5279175301750 6033343202000 8446680482800 10558350603500 21116701207000 42233402414000