Search a number
-
+
10143226232442 = 233717340988609
BaseRepresentation
bin1001001110011010011101…
…1001010111111001111010
31022220200102212122201111000
42103212213121113321322
52312141311403414232
633323422300145430
72064552413261142
oct223464731277172
938820385581430
1010143226232442
113260799858366
1211799a9b38276
1358766b2421a4
14270d13013922
15128cadee527c
hex939a7657e7a

10143226232442 has 128 divisors (see below), whose sum is σ = 23228012736000. Its totient is φ = 3279715246080.

The previous prime is 10143226232357. The next prime is 10143226232453. The reversal of 10143226232442 is 24423262234101.

10143226232442 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 2 + 2 + 623 + 24 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10143226232397 and 10143226232406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114427434 + ... + 114516042.

It is an arithmetic number, because the mean of its divisors is an integer number (181468849500).

Almost surely, 210143226232442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143226232442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614006368000).

10143226232442 is an abundant number, since it is smaller than the sum of its proper divisors (13084786503558).

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

10143226232442 is a wasteful number, since it uses less digits than its factorization.

10143226232442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89173 (or 89167 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10143226232442 its reverse (24423262234101), we get a palindrome (34566488466543).

The spelling of 10143226232442 in words is "ten trillion, one hundred forty-three billion, two hundred twenty-six million, two hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 73 142 146 213 219 409 426 438 639 657 818 1227 1278 1314 1917 1971 2454 3681 3834 3942 5183 7362 10366 11043 15549 22086 29039 29857 31098 46647 58078 59714 87117 88609 89571 93294 139941 174234 177218 179142 261351 265827 268713 279882 522702 531654 537426 784053 797481 806139 1568106 1594962 1612278 2119847 2392443 4239694 4784886 6291239 6359541 6468457 12582478 12719082 12936914 18873717 19078623 19405371 36241081 37747434 38157246 38810742 56621151 57235869 58216113 72482162 108723243 113242302 114471738 116432226 169863453 174648339 217446486 326169729 339726906 349296678 459260447 652339458 918520894 978509187 1377781341 1957018374 2573116751 2645598913 2755562682 4133344023 5146233502 5291197826 7719350253 7936796739 8266688046 12400032069 15438700506 15873593478 23158050759 23810390217 24800064138 46316101518 47620780434 69474152277 71431170651 138948304554 142862341302 187837522823 375675045646 563512568469 1127025136938 1690537705407 3381075410814 5071613116221 10143226232442