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1434226236102 = 234113743505871
BaseRepresentation
bin10100110111101110100…
…010111001101011000110
312002002222200200201220000
4110313232202321223012
5141444243404023402
63014512513422130
7205422314600652
oct24675642715306
95062880621800
101434226236102
11503285358030
121b1b6756a946
13a532973269a
144d5ba059a62
1527492cebc1c
hex14dee8b9ac6

1434226236102 has 160 divisors (see below), whose sum is σ = 3684383138304. Its totient is φ = 413032737600.

The previous prime is 1434226236073. The next prime is 1434226236109. The reversal of 1434226236102 is 2016326224341.

1434226236102 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 22 + 623 + 6 + 1 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434226236109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2582227 + ... + 3088097.

Almost surely, 21434226236102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434226236102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842191569152).

1434226236102 is an abundant number, since it is smaller than the sum of its proper divisors (2250156902202).

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

1434226236102 is a wasteful number, since it uses less digits than its factorization.

1434226236102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505976 (or 505967 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1434226236102 in words is "one trillion, four hundred thirty-four billion, two hundred twenty-six million, two hundred thirty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 43 54 66 74 81 86 99 111 129 162 198 222 258 297 333 387 407 473 594 666 774 814 891 946 999 1161 1221 1419 1591 1782 1998 2322 2442 2838 2997 3182 3483 3663 4257 4773 5994 6966 7326 8514 9546 10989 12771 14319 17501 21978 25542 28638 32967 35002 38313 42957 52503 65934 76626 85914 105006 128871 157509 257742 315018 472527 505871 945054 1011742 1417581 1517613 2835162 3035226 4552839 5564581 9105678 11129162 13658517 16693743 18717227 21752453 27317034 33387486 37434454 40975551 43504906 50081229 56151681 65257359 81951102 100162458 112303362 130514718 150243687 168455043 195772077 205889497 239276983 300487374 336910086 391544154 411778994 450731061 478553966 505365129 587316231 617668491 717830949 804840761 901462122 1010730258 1174632462 1235336982 1435661898 1516095387 1609681522 1761948693 1853005473 2153492847 2414522283 3032190774 3523897386 3706010946 4306985694 4829044566 5559016419 6460478541 7243566849 8853248371 11118032838 12920957082 14487133698 16677049257 17706496742 19381435623 21730700547 26559745113 33354098514 38762871246 43461401094 53119490226 65192101641 79679235339 130384203282 159358470678 239037706017 478075412034 717113118051 1434226236102