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15132400211145 = 3572312392778823
BaseRepresentation
bin1101110000110100100101…
…0101101101010011001001
31222120122100222200222120110
43130031021111231103021
53440412123423224040
652103421221344533
73121164661340100
oct334151125552311
958518328628513
1015132400211145
114904684466888
121844916268149
13859c96455099
143a45aaa57037
151b3966091980
hexdc34956d4c9

15132400211145 has 96 divisors (see below), whose sum is σ = 29194991861760. Its totient is φ = 6666505130880.

The previous prime is 15132400211129. The next prime is 15132400211161. The reversal of 15132400211145 is 54111200423151.

15132400211145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15132400211129) and next prime (15132400211161).

It is not a de Polignac number, because 15132400211145 - 24 = 15132400211129 is a prime.

It is a super-2 number, since 2×151324002111452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4056204 + ... + 6835026.

It is an arithmetic number, because the mean of its divisors is an integer number (304114498560).

Almost surely, 215132400211145 is an apocalyptic number.

15132400211145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15132400211145 is a deficient number, since it is larger than the sum of its proper divisors (14062591650615).

15132400211145 is a wasteful number, since it uses less digits than its factorization.

15132400211145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779115 (or 2779108 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 15132400211145 its reverse (54111200423151), we get a palindrome (69243600634296).

The spelling of 15132400211145 in words is "fifteen trillion, one hundred thirty-two billion, four hundred million, two hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 31 35 49 93 105 147 155 217 239 245 465 651 717 735 1085 1195 1519 1673 3255 3585 4557 5019 7409 7595 8365 11711 22227 22785 25095 35133 37045 51863 58555 111135 155589 175665 259315 363041 777945 1089123 1815205 2778823 5445615 8336469 13894115 19451761 41682345 58355283 86143513 97258805 136162327 258430539 291776415 408486981 430717565 603004591 664138697 680811635 1292152695 1809013773 1992416091 2042434905 3015022955 3320693485 4221032137 4648970879 9045068865 9962080455 12663096411 13946912637 20588299607 21105160685 23244854395 32542796153 61764898821 63315482055 69734563185 97628388459 102941498035 144118097249 162713980765 308824494105 432354291747 488141942295 720590486245 1008826680743 2161771458735 3026480042229 5044133403715 15132400211145