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1401032424 = 23311171312383
BaseRepresentation
bin101001110000010…
…0000111011101000
310121122021211011210
41103200200323220
510332131014144
6351004553120
746501402431
oct12340407350
93548254153
101401032424
11659934440
123312527a0
1319435068c
14d4100488
1582eeaab9
hex53820ee8

1401032424 has 128 divisors (see below), whose sum is σ = 4078356480. Its totient is φ = 396364800.

The previous prime is 1401032371. The next prime is 1401032429. The reversal of 1401032424 is 4242301041.

It is a self number, because there is not a number n which added to its sum of digits gives 1401032424.

It is not an unprimeable number, because it can be changed into a prime (1401032429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586737 + ... + 589119.

It is an arithmetic number, because the mean of its divisors is an integer number (31862160).

Almost surely, 21401032424 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 1401032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039178240).

1401032424 is an abundant number, since it is smaller than the sum of its proper divisors (2677324056).

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

1401032424 is a wasteful number, since it uses less digits than its factorization.

1401032424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1401032424 is about 37430.3676711838. The cubic root of 1401032424 is about 1118.9638653008.

Adding to 1401032424 its reverse (4242301041), we get a palindrome (5643333465).

The spelling of 1401032424 in words is "one billion, four hundred one million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 131 132 136 187 204 262 264 374 393 408 524 561 748 786 1048 1122 1441 1496 1572 2227 2244 2383 2882 3144 4323 4454 4488 4766 5764 6681 7149 8646 8908 9532 11528 13362 14298 17292 17816 19064 24497 26213 26724 28596 34584 40511 48994 52426 53448 57192 73491 78639 81022 97988 104852 121533 146982 157278 162044 195976 209704 243066 293964 312173 314556 324088 445621 486132 587928 624346 629112 891242 936519 972264 1248692 1336863 1782484 1873038 2497384 2673726 3433903 3564968 3746076 5306941 5347452 6867806 7492152 10301709 10613882 10694904 13735612 15920823 20603418 21227764 27471224 31841646 41206836 42455528 58376351 63683292 82413672 116752702 127366584 175129053 233505404 350258106 467010808 700516212 1401032424