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1214034140 = 2251121014967
BaseRepresentation
bin100100001011100…
…1011000011011100
310010121102022202102
41020113023003130
54441243043030
6320244544232
742041056064
oct11027130334
93117368672
101214034140
11573321900
1229a6b2078
131646992c7
14b73443a4
15718adc45
hex485cb0dc

1214034140 has 72 divisors (see below), whose sum is σ = 2830627296. Its totient is φ = 437008000.

The previous prime is 1214034119. The next prime is 1214034161. The reversal of 1214034140 is 414304121.

It is an interprime number because it is at equal distance from previous prime (1214034119) and next prime (1214034161).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241937 + ... + 246903.

It is an arithmetic number, because the mean of its divisors is an integer number (39314268).

Almost surely, 21214034140 is an apocalyptic number.

1214034140 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 1214034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415313648).

1214034140 is an abundant number, since it is smaller than the sum of its proper divisors (1616593156).

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

1214034140 is a wasteful number, since it uses less digits than its factorization.

1214034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5086 counting only the distinct ones).

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

The square root of 1214034140 is about 34842.9926958061. The cubic root of 1214034140 is about 1066.7851624001.

Adding to 1214034140 its reverse (414304121), we get a palindrome (1628338261).

The spelling of 1214034140 in words is "one billion, two hundred fourteen million, thirty-four 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 4967 5555 9934 11110 12221 19868 22220 24442 24835 48884 49670 54637 61105 99340 109274 122210 218548 244420 273185 501667 546370 601007 1003334 1092740 1202014 2006668 2404028 2508335 3005035 5016670 5518337 6010070 10033340 11036674 12020140 22073348 27591685 55183370 60701707 110366740 121403414 242806828 303508535 607017070 1214034140