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1414028440 = 235118936109
BaseRepresentation
bin101010001001000…
…0101110010011000
310122112202002100201
41110102011302120
510343442402230
6352151311544
750020020616
oct12422056230
93575662321
101414028440
11666200550
1233567b5b4
13196c50b26
14d5b246b6
15842165ca
hex54485c98

1414028440 has 64 divisors (see below), whose sum is σ = 3509892000. Its totient is φ = 508400640.

The previous prime is 1414028437. The next prime is 1414028479. The reversal of 1414028440 is 448204141.

It is a junction number, because it is equal to n+sod(n) for n = 1414028399 and 1414028408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21106 + ... + 57214.

Almost surely, 21414028440 is an apocalyptic number.

1414028440 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 1414028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754946000).

1414028440 is an abundant number, since it is smaller than the sum of its proper divisors (2095863560).

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

1414028440 is a wasteful number, since it uses less digits than its factorization.

1414028440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36220 (or 36216 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 1414028440 is about 37603.5695114174. The cubic root of 1414028440 is about 1122.4130689305.

The spelling of 1414028440 in words is "one billion, four hundred fourteen million, twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 9790 19580 36109 39160 72218 144436 180545 288872 361090 397199 722180 794398 1444360 1588796 1985995 3177592 3213701 3971990 6427402 7943980 12854804 15887960 16068505 25709608 32137010 35350711 64274020 70701422 128548040 141402844 176753555 282805688 353507110 707014220 1414028440