Search a number
-
+
1402131032432 = 241321943363029
BaseRepresentation
bin10100011001110101100…
…001011010100101110000
311222001010220220110101222
4110121311201122211300
5140433031021014212
62552044034044212
7203205054062414
oct24316541324560
94861126813358
101402131032432
114a0705461519
121a78aaa19668
13a22b326b900
144bc13652d44
15267152a6c72
hex1467585a970

1402131032432 has 120 divisors (see below), whose sum is σ = 3103700569200. Its totient is φ = 611651948544.

The previous prime is 1402131032339. The next prime is 1402131032501. The reversal of 1402131032432 is 2342301312041.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22214294 + ... + 22277322.

It is an arithmetic number, because the mean of its divisors is an integer number (25864171410).

Almost surely, 21402131032432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402131032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551850284600).

1402131032432 is an abundant number, since it is smaller than the sum of its proper divisors (1701569536768).

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

1402131032432 is a wasteful number, since it uses less digits than its factorization.

1402131032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63515 (or 63496 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1402131032432 its reverse (2342301312041), we get a palindrome (3744432344473).

The spelling of 1402131032432 in words is "one trillion, four hundred two billion, one hundred thirty-one million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 433 494 676 866 988 1352 1732 1976 2704 3211 3464 3952 5629 6422 6928 8227 11258 12844 16454 22516 25688 32908 45032 51376 63029 65816 73177 90064 106951 126058 131632 146354 213902 252116 292708 427804 504232 585416 819377 855608 1008464 1170832 1197551 1390363 1638754 1711216 2395102 2780726 3277508 4790204 5561452 6555016 9580408 10651901 11122904 13110032 15568163 19160816 21303802 22245808 27291557 31136326 42607604 54583114 62272652 85215208 109166228 124545304 170430416 202386119 218332456 249090608 354790241 404772238 436664912 518539583 709580482 809544476 1037079166 1419160964 1619088952 2074158332 2838321928 3238177904 4148316664 4612273133 5676643856 6741014579 8296633328 9224546266 13482029158 18449092532 26964058316 36898185064 53928116632 73796370128 87633189527 107856233264 175266379054 350532758108 701065516216 1402131032432