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40122141300 = 22325271962003
BaseRepresentation
bin100101010111011101…
…110100101001110100
310211120011212221212100
4211113131310221310
51124132232010200
630233140422100
72620156400613
oct452735645164
9124504787770
1040122141300
11160199a266a
1279389a7930
133a25479017
141d288c387a
15109c5b1d00
hex957774a74

40122141300 has 108 divisors (see below), whose sum is σ = 125937564480. Its totient is φ = 10684184640.

The previous prime is 40122141247. The next prime is 40122141341. The reversal of 40122141300 is 314122104.

40122141300 is a `hidden beast` number, since 401 + 221 + 41 + 3 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616099 + ... + 678101.

It is an arithmetic number, because the mean of its divisors is an integer number (1166088560).

Almost surely, 240122141300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62968782240).

40122141300 is an abundant number, since it is smaller than the sum of its proper divisors (85815423180).

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

40122141300 is a wasteful number, since it uses less digits than its factorization.

40122141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62742 (or 62732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40122141300 its reverse (314122104), we get a palindrome (40436263404).

The spelling of 40122141300 in words is "forty billion, one hundred twenty-two million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 719 900 1438 2157 2876 3595 4314 6471 7190 8628 10785 12942 14380 17975 21570 25884 32355 35950 43140 53925 62003 64710 71900 107850 124006 129420 161775 186009 215700 248012 310015 323550 372018 558027 620030 647100 744036 930045 1116054 1240060 1550075 1860090 2232108 2790135 3100150 3720180 4650225 5580270 6200300 9300450 11160540 13950675 18600900 27901350 44580157 55802700 89160314 133740471 178320628 222900785 267480942 401221413 445801570 534961884 668702355 802442826 891603140 1114503925 1337404710 1604885652 2006107065 2229007850 2674809420 3343511775 4012214130 4458015700 6687023550 8024428260 10030535325 13374047100 20061070650 40122141300