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1400134164 = 22311131575197
BaseRepresentation
bin101001101110100…
…0101101000010100
310121120121011222220
41103131011220110
510331413243124
6350533422340
746460641542
oct12335055024
93546534886
101400134164
11659380580
12330a9a9b0
131940c7870
14d3d48d92
1582dbe879
hex53745a14

1400134164 has 96 divisors (see below), whose sum is σ = 3863319936. Its totient is φ = 389076480.

The previous prime is 1400134163. The next prime is 1400134193. The reversal of 1400134164 is 4614310041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400134163) 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, 266814 + ... + 272010.

It is an arithmetic number, because the mean of its divisors is an integer number (40242916).

Almost surely, 21400134164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400134164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931659968).

1400134164 is an abundant number, since it is smaller than the sum of its proper divisors (2463185772).

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

1400134164 is a wasteful number, since it uses less digits than its factorization.

1400134164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1400134164 is about 37418.3666666518. The cubic root of 1400134164 is about 1118.7246761264.

The spelling of 1400134164 in words is "one billion, four hundred million, one hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 157 286 314 429 471 572 628 858 942 1716 1727 1884 2041 3454 4082 5181 5197 6123 6908 8164 10362 10394 12246 15591 20724 20788 22451 24492 31182 44902 57167 62364 67353 67561 89804 114334 134706 135122 171501 202683 228668 269412 270244 343002 405366 686004 743171 810732 815929 1486342 1631858 2229513 2447787 2972684 3263716 4459026 4895574 8918052 8975219 9791148 10607077 17950438 21214154 26925657 31821231 35900876 42428308 53851314 63642462 107702628 116677847 127284924 233355694 350033541 466711388 700067082 1400134164