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142124233240 = 2351133497649
BaseRepresentation
bin1000010001011101000…
…0111011001000011000
3111120211212211002221101
42010113100323020120
54312032300430430
6145142503321144
713160654023063
oct2042720731030
9446755732841
10142124233240
1155302474000
12236651501b4
131052c9b6042
146c437c58da
153a6c473dca
hex211743b218

142124233240 has 128 divisors (see below), whose sum is σ = 352787400000. Its totient is φ = 51526717440.

The previous prime is 142124233189. The next prime is 142124233249. The reversal of 142124233240 is 42332421241.

It is a junction number, because it is equal to n+sod(n) for n = 142124233199 and 142124233208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142124233249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18576936 + ... + 18584584.

Almost surely, 2142124233240 is an apocalyptic number.

142124233240 is a gapful number since it is divisible by the number (10) 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 142124233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176393700000).

142124233240 is an abundant number, since it is smaller than the sum of its proper divisors (210663166760).

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

142124233240 is a wasteful number, since it uses less digits than its factorization.

142124233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142124233240 its reverse (42332421241), we get a palindrome (184456654481).

The spelling of 142124233240 in words is "one hundred forty-two billion, one hundred twenty-four million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 349 440 484 605 698 968 1210 1331 1396 1745 2420 2662 2792 3490 3839 4840 5324 6655 6980 7649 7678 10648 13310 13960 15298 15356 19195 26620 30596 30712 38245 38390 42229 53240 61192 76490 76780 84139 84458 152980 153560 168278 168916 211145 305960 336556 337832 420695 422290 464519 673112 841390 844580 925529 929038 1682780 1689160 1851058 1858076 2322595 2669501 3365560 3702116 3716152 4627645 4645190 5339002 7404232 9255290 9290380 10180819 10678004 13347505 18510580 18580760 20361638 21356008 26695010 29364511 37021160 40723276 50904095 53390020 58729022 81446552 101808190 106780040 117458044 146822555 203616380 234916088 293645110 323009621 407232760 587290220 646019242 1174580440 1292038484 1615048105 2584076968 3230096210 3553105831 6460192420 7106211662 12920384840 14212423324 17765529155 28424846648 35531058310 71062116620 142124233240