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1014010004 = 227437383139
BaseRepresentation
bin111100011100001…
…001000010010100
32121200001001020002
4330130021002110
54034041310004
6244341430432
734061641250
oct7434110224
92550031202
101014010004
114804227a7
1224370b418
13132104027
1498957260
155e04c61e
hex3c709094

1014010004 has 96 divisors (see below), whose sum is σ = 2144271360. Its totient is φ = 410635008.

The previous prime is 1014009979. The next prime is 1014010009. The reversal of 1014010004 is 4000104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014010009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7294967 + ... + 7295105.

It is an arithmetic number, because the mean of its divisors is an integer number (22336160).

Almost surely, 21014010004 is an apocalyptic number.

1014010004 is a gapful number since it is divisible by the number (14) 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 1014010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072135680).

1014010004 is an abundant number, since it is smaller than the sum of its proper divisors (1130261356).

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

1014010004 is a wasteful number, since it uses less digits than its factorization.

1014010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1014010004 is about 31843.5237371746. The cubic root of 1014010004 is about 1004.6483605976.

Adding to 1014010004 its reverse (4000104101), we get a palindrome (5014114105).

The spelling of 1014010004 in words is "one billion, fourteen million, ten thousand, four".

Divisors: 1 2 4 7 14 28 43 73 83 86 139 146 166 172 278 292 301 332 511 556 581 602 973 1022 1162 1204 1946 2044 2324 3139 3569 3892 5977 6059 6278 7138 10147 11537 11954 12118 12556 14276 20294 21973 23074 23908 24236 24983 40588 41839 42413 43946 46148 49966 71029 80759 83678 84826 87892 99932 142058 161518 167356 169652 260537 284116 323036 436321 496091 521074 842201 872642 992182 1042148 1684402 1745284 1823759 1984364 3054247 3368804 3472637 3647518 5895407 6108494 6945274 7295036 11790814 12216988 13890548 23581628 36214643 72429286 144858572 253502501 507005002 1014010004