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4104111442230 = 233583431424913
BaseRepresentation
bin111011101110010000000…
…110101100100100110110
3112112100102120201221122000
4323232100012230210312
51014220210012122410
612421222555320130
7602340464444502
oct73562006544466
915470376657560
104104111442230
1113425a8a08108
125634a2750046
1323a029348517
141028d6443302
1571b5612edc0
hex3bb901ac936

4104111442230 has 128 divisors (see below), whose sum is σ = 11101881047040. Its totient is φ = 1078732592640.

The previous prime is 4104111442181. The next prime is 4104111442241. The reversal of 4104111442230 is 322441114014.

4104111442230 is a `hidden beast` number, since 4 + 1 + 0 + 411 + 14 + 4 + 2 + 230 = 666.

4104111442230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4104111442194 and 4104111442203.

It is a congruent number.

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, 9446254 + ... + 9871166.

It is an arithmetic number, because the mean of its divisors is an integer number (86733445680).

Almost surely, 24104111442230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104111442230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550940523520).

4104111442230 is an abundant number, since it is smaller than the sum of its proper divisors (6997769604810).

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

4104111442230 is a wasteful number, since it uses less digits than its factorization.

4104111442230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425443 (or 425437 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4104111442230 its reverse (322441114014), we get a palindrome (4426552556244).

The spelling of 4104111442230 in words is "four trillion, one hundred four billion, one hundred eleven million, four hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 431 498 747 830 862 1245 1293 1494 2155 2241 2490 2586 3735 3879 4310 4482 6465 7470 7758 11205 11637 12930 19395 22410 23274 35773 38790 58185 71546 107319 116370 178865 214638 321957 357730 424913 536595 643914 849826 965871 1073190 1274739 1609785 1931742 2124565 2549478 3219570 3824217 4249130 4829355 6373695 7648434 9658710 11472651 12747390 19121085 22945302 35267779 38242170 57363255 70535558 105803337 114726510 176338895 183137503 211606674 317410011 352677790 366275006 529016685 549412509 634820022 915687515 952230033 1058033370 1098825018 1587050055 1648237527 1831375030 1904460066 2747062545 3174100110 3296475054 4761150165 4944712581 5494125090 8241187635 9522300330 9889425162 15200412749 16482375270 24723562905 30400825498 45601238247 49447125810 76002063745 91202476494 136803714741 152004127490 228006191235 273607429482 410411144223 456012382470 684018573705 820822288446 1368037147410 2052055721115 4104111442230