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1142403408 = 243225131607
BaseRepresentation
bin100010000010111…
…1011000101010000
32221121122002212100
41010011323011100
54314423402113
6305205400400
740211161116
oct10405730520
92847562770
101142403408
11536947653
1227a709100
131528a9463
14aba19ab6
156a45ed73
hex4417b150

1142403408 has 60 divisors (see below), whose sum is σ = 3209982048. Its totient is φ = 379272000.

The previous prime is 1142403391. The next prime is 1142403421. The reversal of 1142403408 is 8043042411.

1142403408 is a `hidden beast` number, since 1 + 14 + 240 + 3 + 408 = 666.

It is a super-2 number, since 2×11424034082 = 2610171093220028928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20341 + ... + 51947.

Almost surely, 21142403408 is an apocalyptic number.

1142403408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604991024).

1142403408 is an abundant number, since it is smaller than the sum of its proper divisors (2067578640).

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

1142403408 is a wasteful number, since it uses less digits than its factorization.

1142403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31872 (or 31863 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1142403408 is about 33799.4586938904. The cubic root of 1142403408 is about 1045.3775359551.

Adding to 1142403408 its reverse (8043042411), we get a palindrome (9185445819).

It can be divided in two parts, 1142 and 403408, that added together give a triangular number (404550 = T899).

The spelling of 1142403408 in words is "one billion, one hundred forty-two million, four hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4518 6024 9036 12048 18072 31607 36144 63214 94821 126428 189642 252856 284463 379284 505712 568926 758568 1137852 1517136 2275704 4551408 7933357 15866714 23800071 31733428 47600142 63466856 71400213 95200284 126933712 142800426 190400568 285600852 380801136 571201704 1142403408