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142028403434316 = 22347203930712483
BaseRepresentation
bin100000010010110010010000…
…100010001110001101001100
3200121212210010122011100120000
4200102302100202032031030
5122103443132234344231
61222022540420124300
741626133145015420
oct4022622042161514
9617783118140500
10142028403434316
11412889a907a693
1213b1a080b36690
1361332b4637329
1427102d6146b80
151164740d716e6
hex812c9088e34c

142028403434316 has 120 divisors (see below), whose sum is σ = 424539894831360. Its totient is φ = 40559640828768.

The previous prime is 142028403434233. The next prime is 142028403434339. The reversal of 142028403434316 is 613434304820241.

142028403434316 is a `hidden beast` number, since 1 + 4 + 20 + 284 + 0 + 3 + 4 + 34 + 316 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10731790 + ... + 19980693.

It is an arithmetic number, because the mean of its divisors is an integer number (3537832456928).

Almost surely, 2142028403434316 is an apocalyptic number.

It is an amenable number.

142028403434316 is an abundant number, since it is smaller than the sum of its proper divisors (282511491397044).

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

142028403434316 is a wasteful number, since it uses less digits than its factorization.

142028403434316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30714545 (or 30714534 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 142028403434316 in words is "one hundred forty-two trillion, twenty-eight billion, four hundred three million, four hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2039 2268 4078 6117 8156 12234 14273 18351 24468 28546 36702 42819 55053 57092 73404 85638 110106 128457 165159 171276 220212 256914 330318 385371 513828 660636 770742 1156113 1541484 2312226 4624452 30712483 61424966 92137449 122849932 184274898 214987381 276412347 368549796 429974762 552824694 644962143 829237041 859949524 1105649388 1289924286 1658474082 1934886429 2487711123 2579848572 3316948164 3869772858 4975422246 5804659287 7739545716 9950844492 11609318574 17413977861 23218637148 34827955722 62622752837 69655911444 125245505674 187868258511 250491011348 375736517022 438359269859 563604775533 751473034044 876718539718 1127209551066 1315077809577 1690814326599 1753437079436 2254419102132 2630155619154 3381628653198 3945233428731 5072442979797 5260311238308 6763257306396 7890466857462 10144885959594 11835700286193 15780933714924 20289771919188 23671400572386 35507100858579 47342801144772 71014201717158 142028403434316