Search a number
-
+
1110314441430 = 23355417601249
BaseRepresentation
bin10000001010000011111…
…001011101101011010110
310221010220201111200102000
4100022003321131223112
5121142410444111210
62210023231500130
7143134425014235
oct20120371355326
93833821450360
101110314441430
11398977613557
1215b22a087646
138091897b85c
143ba4d2bcb1c
151dd36271ac0
hex10283e5dad6

1110314441430 has 64 divisors (see below), whose sum is σ = 2966311800000. Its totient is φ = 295536522240.

The previous prime is 1110314441407. The next prime is 1110314441447. The reversal of 1110314441430 is 341444130111.

1110314441430 is a `hidden beast` number, since 1 + 1 + 103 + 144 + 414 + 3 + 0 = 666.

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 = 1110314441394 and 1110314441403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3654555 + ... + 3946694.

It is an arithmetic number, because the mean of its divisors is an integer number (46348621875).

Almost surely, 21110314441430 is an apocalyptic number.

1110314441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110314441430 is an abundant number, since it is smaller than the sum of its proper divisors (1855997358570).

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

1110314441430 is a wasteful number, since it uses less digits than its factorization.

1110314441430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601806 (or 7601800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1110314441430 its reverse (341444130111), we get a palindrome (1451758571541).

The spelling of 1110314441430 in words is "one trillion, one hundred ten billion, three hundred fourteen million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 541 1082 1623 2705 3246 4869 5410 8115 9738 14607 16230 24345 29214 48690 73035 146070 7601249 15202498 22803747 38006245 45607494 68411241 76012490 114018735 136822482 205233723 228037470 342056205 410467446 684112410 1026168615 2052337230 4112275709 8224551418 12336827127 20561378545 24673654254 37010481381 41122757090 61684135635 74020962762 111031444143 123368271270 185052406905 222062888286 370104813810 555157220715 1110314441430