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4134124203144 = 23313191315323583
BaseRepresentation
bin111100001010001101000…
…000010010110010001000
3112122012220020001011200120
4330022031000102302020
51020213141244000034
612443105045103240
7604452310632255
oct74121500226210
915565806034616
104134124203144
1113542aa377651
125692799b7b20
1323cb0025aa50
1410414245042c
1572810e29c49
hex3c28d012c88

4134124203144 has 128 divisors (see below), whose sum is σ = 11805579878400. Its totient is φ = 1195889460480.

The previous prime is 4134124203071. The next prime is 4134124203149. The reversal of 4134124203144 is 4413024214314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4134124203149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885224 + ... + 3438359.

It is an arithmetic number, because the mean of its divisors is an integer number (92231092800).

Almost surely, 24134124203144 is an apocalyptic number.

It is an amenable number.

4134124203144 is an abundant number, since it is smaller than the sum of its proper divisors (7671455675256).

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

4134124203144 is a wasteful number, since it uses less digits than its factorization.

4134124203144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323755 (or 5323751 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4134124203144 its reverse (4413024214314), we get a palindrome (8547148417458).

The spelling of 4134124203144 in words is "four trillion, one hundred thirty-four billion, one hundred twenty-four million, two hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 131 152 156 228 247 262 312 393 456 494 524 741 786 988 1048 1482 1572 1703 1976 2489 2964 3144 3406 4978 5109 5928 6812 7467 9956 10218 13624 14934 19912 20436 29868 32357 40872 59736 64714 97071 129428 194142 258856 388284 776568 5323583 10647166 15970749 21294332 31941498 42588664 63882996 69206579 101148077 127765992 138413158 202296154 207619737 276826316 303444231 404592308 415239474 553652632 606888462 697389373 809184616 830478948 1213776924 1314925001 1394778746 1660957896 2092168119 2427553848 2629850002 2789557492 3944775003 4184336238 5259700004 5579114984 7889550006 8368672476 9066061849 10519400008 13250398087 15779100012 16737344952 18132123698 26500796174 27198185547 31558200024 36264247396 39751194261 53001592348 54396371094 72528494792 79502388522 106003184696 108792742188 159004777044 172255175131 217585484376 318009554088 344510350262 516765525393 689020700524 1033531050786 1378041401048 2067062101572 4134124203144