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400023141320004 = 223374335359355229
BaseRepresentation
bin101101011110100011010010…
…1001111011000010101000100
31221110100211122111201222022220
41122331012211033120111010
5404412434343134220004
63534440032201452340
7150154501231620516
oct13275064517302504
91843324574658286
10400023141320004
11106506952769954
1238a471b87a10b0
131422903598a007
1470ad31ac01bb6
15313a7bea55dd9
hex16bd1a53d8544

400023141320004 has 96 divisors (see below), whose sum is σ = 983686154478720. Its totient is φ = 126361107468288.

The previous prime is 400023141320003. The next prime is 400023141320017.

400023141320004 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4000231413200043 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (400023141320003) 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, 22938139 + ... + 36417090.

It is an arithmetic number, because the mean of its divisors is an integer number (10246730775820).

Almost surely, 2400023141320004 is an apocalyptic number.

It is an amenable number.

400023141320004 is an abundant number, since it is smaller than the sum of its proper divisors (583663013158716).

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

400023141320004 is a wasteful number, since it uses less digits than its factorization.

400023141320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59355669 (or 59355667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 400023141320004 in words is "four hundred trillion, twenty-three billion, one hundred forty-one million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 12 37 43 74 86 111 129 148 172 222 258 353 444 516 706 1059 1412 1591 2118 3182 4236 4773 6364 9546 13061 15179 19092 26122 30358 39183 45537 52244 60716 78366 91074 156732 182148 561623 1123246 1684869 2246492 3369738 6739476 59355229 118710458 178065687 237420916 356131374 712262748 2196143473 2552274847 4392286946 5104549694 6588430419 7656824541 8784573892 10209099388 13176860838 15313649082 20952395837 26353721676 30627298164 41904791674 62857187511 83809583348 94434169339 125714375022 188868338678 251428750044 283302508017 377736677356 566605016034 775238645969 900953020991 1133210032068 1550477291938 1801906041982 2325715937907 2702859062973 3100954583876 3603812083964 4651431875814 5405718125946 9302863751628 10811436251892 33335261776667 66670523553334 100005785330001 133341047106668 200011570660002 400023141320004