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1533142206414 = 233713893505559
BaseRepresentation
bin10110010011110110011…
…001011000011111001110
312102120022022112122222000
4112103312121120133032
5200104333401101124
63132152114133130
7215523456510030
oct26236631303716
95376268478860
101533142206414
11541224896625
122091722811a6
13b1761793630
14542c1137c50
1529d31ca76c9
hex164f66587ce

1533142206414 has 128 divisors (see below), whose sum is σ = 4240325376000. Its totient is φ = 399801878784.

The previous prime is 1533142206403. The next prime is 1533142206419. The reversal of 1533142206414 is 4146022413351.

1533142206414 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 1 + 4 + 2 + 2 + 0 + 641 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533142206419) 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 63 ways as a sum of consecutive naturals, for example, 1315434 + ... + 2190125.

It is an arithmetic number, because the mean of its divisors is an integer number (33127542000).

Almost surely, 21533142206414 is an apocalyptic number.

1533142206414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1533142206414 is an abundant number, since it is smaller than the sum of its proper divisors (2707183169586).

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

1533142206414 is a wasteful number, since it uses less digits than its factorization.

1533142206414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505679 (or 3505673 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1533142206414 its reverse (4146022413351), we get a palindrome (5679164619765).

The spelling of 1533142206414 in words is "one trillion, five hundred thirty-three billion, one hundred forty-two million, two hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 89 91 117 126 178 182 189 234 267 273 351 378 534 546 623 702 801 819 1157 1246 1602 1638 1869 2314 2403 2457 3471 3738 4806 4914 5607 6942 8099 10413 11214 16198 16821 20826 24297 31239 33642 48594 62478 72891 145782 218673 437346 3505559 7011118 10516677 21033354 24538913 31550031 45572267 49077826 63100062 73616739 91144534 94650093 136716801 147233478 189300186 220850217 273433602 311994751 319005869 410150403 441700434 623989502 638011738 662550651 820300806 935984253 957017607 1230451209 1325101302 1871968506 1914035214 2183963257 2460902418 2807952759 2871052821 4055931763 4367926514 5615905518 5742105642 6551889771 8111863526 8423858277 8613158463 12167795289 13103779542 16847716554 17226316926 19655669313 24335590578 28391522341 36503385867 39311338626 56783044682 58967007939 73006771734 85174567023 109510157601 117934015878 170349134046 219020315202 255523701069 511047402138 766571103207 1533142206414