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1404142432 = 25721181409
BaseRepresentation
bin101001110110001…
…1000001101100000
310121212010211022021
41103230120031200
510333430024212
6351155351224
746540004500
oct12354301540
93555124267
101404142432
11660668aa0
123322b2514
13194b9c114
14d46ada00
1583412307
hex53b18360

1404142432 has 72 divisors (see below), whose sum is σ = 3508119720. Its totient is φ = 547061760.

The previous prime is 1404142423. The next prime is 1404142459. The reversal of 1404142432 is 2342414041.

It is a super-3 number, since 3×14041424323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1404142397 and 1404142406.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23457 + ... + 57952.

It is an arithmetic number, because the mean of its divisors is an integer number (48723885).

Almost surely, 21404142432 is an apocalyptic number.

It is an amenable number.

1404142432 is an abundant number, since it is smaller than the sum of its proper divisors (2103977288).

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

1404142432 is a wasteful number, since it uses less digits than its factorization.

1404142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81444 (or 81429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1404142432 is about 37471.8885566234. Note that the first 3 decimals coincide. The cubic root of 1404142432 is about 1119.7912110803.

Adding to 1404142432 its reverse (2342414041), we get a palindrome (3746556473).

The spelling of 1404142432 in words is "one billion, four hundred four million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 81409 162818 325636 569863 651272 895499 1139726 1302544 1790998 2279452 2605088 3581996 3989041 4558904 6268493 7163992 7978082 9117808 12536986 14327984 15956164 18235616 25073972 28655968 31912328 43879451 50147944 63824656 87758902 100295888 127649312 175517804 200591776 351035608 702071216 1404142432