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40222434120 = 23351183367127
BaseRepresentation
bin100101011101011100…
…011010001101001000
310211211011121100202020
4211131130122031020
51124333420342440
630251122204440
72622515022531
oct453534321510
9124734540666
1040222434120
11160705740a0
1279664b3720
133a40192b9b
141d37d4d688
1510a62c33d0
hex95d71a348

40222434120 has 128 divisors (see below), whose sum is σ = 133223408640. Its totient is φ = 9633386240.

The previous prime is 40222434097. The next prime is 40222434121. The reversal of 40222434120 is 2143422204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40222434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74004 + ... + 293123.

It is an arithmetic number, because the mean of its divisors is an integer number (1040807880).

Almost surely, 240222434120 is an apocalyptic number.

40222434120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222434120 is an abundant number, since it is smaller than the sum of its proper divisors (93000974520).

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

40222434120 is a wasteful number, since it uses less digits than its factorization.

40222434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367235 (or 367231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40222434120 its reverse (2143422204), we get a palindrome (42365856324).

The spelling of 40222434120 in words is "forty billion, two hundred twenty-two million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 54780 109560 367127 734254 1101381 1468508 1835635 2202762 2937016 3671270 4038397 4405524 5506905 7342540 8076794 8811048 11013810 12115191 14685080 16153588 20191985 22027620 24230382 30471541 32307176 40383970 44055240 48460764 60575955 60943082 80767940 91414623 96921528 121151910 121886164 152357705 161535880 182829246 242303820 243772328 304715410 335186951 365658492 457073115 484607640 609430820 670373902 731316984 914146230 1005560853 1218861640 1340747804 1675934755 1828292460 2011121706 2681495608 3351869510 3656584920 4022243412 5027804265 6703739020 8044486824 10055608530 13407478040 20111217060 40222434120