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1434012140 = 2251121015867
BaseRepresentation
bin101010101111001…
…0100100111101100
310200221100100211202
41111132110213230
510414101342030
6354143505032
750351621261
oct12536244754
93627310752
101434012140
1167650a600
123402b8178
1319b1299c2
14d8647268
1585d62745
hex557949ec

1434012140 has 72 divisors (see below), whose sum is σ = 3343422096. Its totient is φ = 516208000.

The previous prime is 1434012121. The next prime is 1434012157. The reversal of 1434012140 is 412104341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241487 + ... + 247353.

It is an arithmetic number, because the mean of its divisors is an integer number (46436418).

Almost surely, 21434012140 is an apocalyptic number.

1434012140 is a gapful number since it is divisible by the number (10) 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 1434012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671711048).

1434012140 is an abundant number, since it is smaller than the sum of its proper divisors (1909409956).

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

1434012140 is a wasteful number, since it uses less digits than its factorization.

1434012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1434012140 is about 37868.3527500207. The cubic root of 1434012140 is about 1127.6758401145.

Adding to 1434012140 its reverse (412104341), we get a palindrome (1846116481).

It can be divided in two parts, 143401 and 2140, that added together give a palindrome (145541).

The spelling of 1434012140 in words is "one billion, four hundred thirty-four million, twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 5867 11110 11734 12221 22220 23468 24442 29335 48884 58670 61105 64537 117340 122210 129074 244420 258148 322685 592567 645370 709907 1185134 1290740 1419814 2370268 2839628 2962835 3549535 5925670 6518237 7099070 11851340 13036474 14198140 26072948 32591185 65182370 71700607 130364740 143401214 286802428 358503035 717006070 1434012140