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4123114404030 = 233579971919889
BaseRepresentation
bin111011111111111100110…
…001001111100010111110
3112121011110221011102121000
4323333330301033202332
51020023114241412110
612434044350551130
7603612422114466
oct73777461174276
915534427142530
104123114404030
11134a66a656616
125671068084a6
1323ba672b210b
141037ba14cba6
15723b95a21c0
hex3bffcc4f8be

4123114404030 has 128 divisors (see below), whose sum is σ = 11135854080000. Its totient is φ = 1085413215744.

The previous prime is 4123114404007. The next prime is 4123114404047. The reversal of 4123114404030 is 304044113214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4123114403985 and 4123114404003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207296326 + ... + 207316214.

It is an arithmetic number, because the mean of its divisors is an integer number (86998860000).

Almost surely, 24123114404030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123114404030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567927040000).

4123114404030 is an abundant number, since it is smaller than the sum of its proper divisors (7012739675970).

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

4123114404030 is a wasteful number, since it uses less digits than its factorization.

4123114404030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29703 (or 29697 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4123114404030 its reverse (304044113214), we get a palindrome (4427158517244).

The spelling of 4123114404030 in words is "four trillion, one hundred twenty-three billion, one hundred fourteen million, four hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 4266 7110 9719 10665 19438 19889 21330 29157 39778 48595 58314 59667 87471 97190 99445 119334 145785 174942 179001 198890 262413 291570 298335 358002 437355 524826 537003 596670 767801 874710 895005 1074006 1312065 1535602 1571231 1790010 2303403 2624130 2685015 3142462 3839005 4606806 4713693 5370030 6910209 7678010 7856155 9427386 11517015 13820418 14141079 15712310 20730627 23034030 23568465 28282158 34551045 41461254 42423237 47136930 69102090 70705395 84846474 103653135 141410790 193301191 207306270 212116185 386602382 424232370 579903573 966505955 1159807146 1739710719 1933011910 2899517865 3479421438 5219132157 5799035730 8698553595 10438264314 15270794089 17397107190 26095660785 30541588178 45812382267 52191321570 76353970445 91624764534 137437146801 152707940890 229061911335 274874293602 412311440403 458123822670 687185734005 824622880806 1374371468010 2061557202015 4123114404030