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42322001400 = 23325273358889
BaseRepresentation
bin100111011010100101…
…100111110111111000
311001020111022102121100
4213122211213313320
51143133413021100
631235323211400
73025531035120
oct473245476770
9131214272540
1042322001400
1116a48737068
128251676b60
133cb615baa3
142096b25c80
15117a7a2400
hex9da967df8

42322001400 has 144 divisors (see below), whose sum is σ = 162435920400. Its totient is φ = 9673597440.

The previous prime is 42322001389. The next prime is 42322001401. The reversal of 42322001400 is 410022324.

42322001400 is a `hidden beast` number, since 42 + 3 + 220 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322001401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1666845 + ... + 1692044.

It is an arithmetic number, because the mean of its divisors is an integer number (1128027225).

Almost surely, 242322001400 is an apocalyptic number.

42322001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42322001400 is an abundant number, since it is smaller than the sum of its proper divisors (120113919000).

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

42322001400 is a wasteful number, since it uses less digits than its factorization.

42322001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358918 (or 3358906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42322001400 its reverse (410022324), we get a palindrome (42732023724).

The spelling of 42322001400 in words is "forty-two billion, three hundred twenty-two million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 3358889 6717778 10076667 13435556 16794445 20153334 23512223 26871112 30230001 33588890 40306668 47024446 50383335 60460002 67177780 70536669 80613336 83972225 94048892 100766670 117561115 120920004 134355560 141073338 151150005 167944450 188097784 201533340 211610007 235122230 241840008 251916675 282146676 302300010 335888900 352683345 403066680 423220014 470244460 503833350 564293352 587805575 604600020 671777800 705366690 755750025 846440028 940488920 1007666700 1058050035 1175611150 1209200040 1410733380 1511500050 1692880056 1763416725 2015333400 2116100070 2351222300 2821466760 3023000100 3526833450 4232200140 4702444600 5290250175 6046000200 7053666900 8464400280 10580500350 14107333800 21161000700 42322001400