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30244514190 = 235111731173909
BaseRepresentation
bin11100001010101101…
…101010100110001110
32220001210101111210020
4130022231222212032
5443420043423230
621521044523010
72120326062132
oct341255524616
986053344706
1030244514190
1111910270180
125a409b0466
132b0cc36857
14166cad73c2
15bc0327810
hex70ab6a98e

30244514190 has 128 divisors (see below), whose sum is σ = 86548746240. Its totient is φ = 6678067200.

The previous prime is 30244514189. The next prime is 30244514213. The reversal of 30244514190 is 9141544203.

It is a super-2 number, since 2×302445141902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 86956 + ... + 260864.

It is an arithmetic number, because the mean of its divisors is an integer number (676162080).

Almost surely, 230244514190 is an apocalyptic number.

30244514190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 173909×173910.

It is a practical number, because each smaller number is the sum of distinct divisors of 30244514190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274373120).

30244514190 is an abundant number, since it is smaller than the sum of its proper divisors (56304232050).

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

30244514190 is a wasteful number, since it uses less digits than its factorization.

30244514190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173978.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 30244514190 in words is "thirty billion, two hundred forty-four million, five hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 31 33 34 51 55 62 66 85 93 102 110 155 165 170 186 187 255 310 330 341 374 465 510 527 561 682 930 935 1023 1054 1122 1581 1705 1870 2046 2635 2805 3162 3410 5115 5270 5610 5797 7905 10230 11594 15810 17391 28985 34782 57970 86955 173909 173910 347818 521727 869545 1043454 1739090 1912999 2608635 2956453 3825998 5217270 5391179 5738997 5912906 8869359 9564995 10782358 11477994 14782265 16173537 17738718 19129990 26955895 28694985 29564530 32347074 32520983 44346795 53911790 57389970 59302969 65041966 80867685 88693590 91650043 97562949 118605938 161735370 162604915 177908907 183300086 195125898 274950129 296514845 325209830 355817814 458250215 487814745 549900258 593029690 889544535 916500430 975629490 1008150473 1374750645 1779089070 2016300946 2749501290 3024451419 5040752365 6048902838 10081504730 15122257095 30244514190