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15045230315514 = 23773103223213641
BaseRepresentation
bin1101101011101111110110…
…0110111100011111111010
31222021022100222011110210110
43122323331212330133322
53433000112430044024
651555403340125150
73111660555423510
oct332737546743772
958238328143713
1015045230315514
114880712315023
12182ba492367b6
138519b3a70699
143a029b9784b0
151b15633e9629
hexdaefd9bc7fa

15045230315514 has 128 divisors (see below), whose sum is σ = 35356636643328. Its totient is φ = 4179741834240.

The previous prime is 15045230315513. The next prime is 15045230315561. The reversal of 15045230315514 is 41551303254051.

It is a super-2 number, since 2×150452303155142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15045230315513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70316134 + ... + 70529774.

It is an arithmetic number, because the mean of its divisors is an integer number (276223723776).

Almost surely, 215045230315514 is an apocalyptic number.

15045230315514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15045230315514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678318321664).

15045230315514 is an abundant number, since it is smaller than the sum of its proper divisors (20311406327814).

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

15045230315514 is a wasteful number, since it uses less digits than its factorization.

15045230315514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214052.

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 15045230315514 its reverse (41551303254051), we get a palindrome (56596533569565).

The spelling of 15045230315514 in words is "fifteen trillion, forty-five billion, two hundred thirty million, three hundred fifteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 73 103 146 206 219 223 309 438 446 511 618 669 721 1022 1338 1442 1533 1561 2163 3066 3122 4326 4683 7519 9366 15038 16279 22557 22969 32558 45114 45938 48837 52633 68907 97674 105266 113953 137814 157899 160783 213641 227906 315798 321566 341859 427282 482349 640923 683718 964698 1281846 1495487 1676737 2990974 3353474 4486461 5030211 8972922 10060422 11737159 15595793 22005023 23474318 31191586 35211477 44010046 46787379 47641943 66015069 70422954 93574758 95283886 109170551 132030138 142925829 154035161 218341102 285851658 308070322 327511653 333493601 462105483 655023306 666987202 924210966 1000480803 1606366679 2000961606 3212733358 3477861839 4819100037 4907120129 6955723678 9638200074 9814240258 10433585517 11244566753 14721360387 20867171034 22489133506 24345032873 29442720774 33733700259 34349840903 48690065746 67467400518 68699681806 73035098619 103049522709 146070197238 206099045418 358219769417 716439538834 1074659308251 2149318616502 2507538385919 5015076771838 7522615157757 15045230315514