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1410324014034 = 2331319107988199
BaseRepresentation
bin10100100001011101110…
…111001010001111010010
311222211021220110001022000
4110201131313022033102
5141101320421422114
62555521030054430
7203615100216225
oct24413567121722
94884256401260
101410324014034
114a412a1588a1
121a93b67aa416
13a2cba77c610
144c38d7d35bc
1526a446c1e09
hex1485ddca3d2

1410324014034 has 128 divisors (see below), whose sum is σ = 3585980160000. Its totient is φ = 407264065344.

The previous prime is 1410324014017. The next prime is 1410324014081. The reversal of 1410324014034 is 4304104230141.

1410324014034 is a `hidden beast` number, since 1 + 4 + 10 + 3 + 240 + 1 + 403 + 4 = 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 = 1410324013989 and 1410324014007.

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, 933067 + ... + 1921265.

It is an arithmetic number, because the mean of its divisors is an integer number (28015470000).

Almost surely, 21410324014034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410324014034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792990080000).

1410324014034 is an abundant number, since it is smaller than the sum of its proper divisors (2175656145966).

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

1410324014034 is a wasteful number, since it uses less digits than its factorization.

1410324014034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988349 (or 988343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1410324014034 its reverse (4304104230141), we get a palindrome (5714428244175).

The spelling of 1410324014034 in words is "one trillion, four hundred ten billion, three hundred twenty-four million, fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 107 114 117 171 214 234 247 321 342 351 494 513 642 702 741 963 1026 1391 1482 1926 2033 2223 2782 2889 4066 4173 4446 5778 6099 6669 8346 12198 12519 13338 18297 25038 26429 36594 37557 52858 54891 75114 79287 109782 158574 237861 475722 713583 988199 1427166 1976398 2964597 5929194 8893791 12846587 17787582 18775781 25693174 26681373 37551562 38539761 53362746 56327343 77079522 105737293 112654686 115619283 168982029 211474586 231238566 244085153 317211879 337964058 346857849 488170306 506946087 634423758 693715698 732255459 951635637 1013892174 1374584809 1464510918 1903271274 2009008567 2196766377 2749169618 2854906911 4018017134 4123754427 4393532754 5709813822 6027025701 6590299131 8247508854 12054051402 12371263281 13180598262 18081077103 24742526562 26117111371 36162154206 37113789843 52234222742 54243231309 74227579686 78351334113 108486462618 156702668226 235054002339 470108004678 705162007017 1410324014034