Search a number
-
+
30051541104 = 24313175475179
BaseRepresentation
bin11011111111001101…
…100010000001110000
32212120100021110110220
4123333031202001300
5443021143303404
621445552453040
72112463612314
oct337715420160
985510243426
1030051541104
1111821347692
1259a824a180
132aabc6cab0
141651223b44
15bad40a4d9
hex6ff362070

30051541104 has 160 divisors (see below), whose sum is σ = 88701822720. Its totient is φ = 8685121536.

The previous prime is 30051540947. The next prime is 30051541109. The reversal of 30051541104 is 40114515003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30051541109) 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, 5799987 + ... + 5805165.

It is an arithmetic number, because the mean of its divisors is an integer number (554386392).

Almost surely, 230051541104 is an apocalyptic number.

30051541104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30051541104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44350911360).

30051541104 is an abundant number, since it is smaller than the sum of its proper divisors (58650281616).

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

30051541104 is a wasteful number, since it uses less digits than its factorization.

30051541104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 30051541104 in words is "thirty billion, fifty-one million, five hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 547 624 663 816 884 1094 1326 1641 1768 2188 2652 3282 3536 4376 5179 5304 6564 7111 8752 9299 10358 10608 13128 14222 15537 18598 20716 21333 26256 27897 28444 31074 37196 41432 42666 55794 56888 62148 67327 74392 82864 85332 88043 111588 113776 120887 124296 134654 148784 170664 176086 201981 223176 241774 248592 264129 269308 341328 352172 362661 403962 446352 483548 528258 538616 704344 725322 807924 967096 1056516 1077232 1144559 1408688 1450644 1615848 1934192 2113032 2289118 2832913 2901288 3231696 3433677 4226064 4578236 5665826 5802576 6867354 8498739 9156472 11331652 13734708 16997478 18312944 22663304 27469416 33994956 36827869 45326608 48159521 54938832 67989912 73655738 96319042 110483607 135979824 144478563 147311476 192638084 220967214 288957126 294622952 385276168 441934428 577914252 589245904 626073773 770552336 883868856 1155828504 1252147546 1767737712 1878221319 2311657008 2504295092 3756442638 5008590184 7512885276 10017180368 15025770552 30051541104