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20202140342004 = 22319457254376243
BaseRepresentation
bin1001001011111101011010…
…11001100001011011110100
32122112022020220011211102020
410211332231121201123310
510121442440411421004
6110544422443113140
74153361604414015
oct445765531413364
978468226154366
1020202140342004
116489752610925
122323387b127b0
13b37090b7716a
144dbb086cb00c
152507861908d9
hex125fad6616f4

20202140342004 has 96 divisors (see below), whose sum is σ = 49748075489280. Its totient is φ = 6363076808448.

The previous prime is 20202140341997. The next prime is 20202140342009. The reversal of 20202140342004 is 40024304120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202140342009) 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, 264932307 + ... + 265008549.

It is an arithmetic number, because the mean of its divisors is an integer number (518209119680).

Almost surely, 220202140342004 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 20202140342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874037744640).

20202140342004 is an abundant number, since it is smaller than the sum of its proper divisors (29545935147276).

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

20202140342004 is a wasteful number, since it uses less digits than its factorization.

20202140342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79269 (or 79267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20202140342004 its reverse (40024304120202), we get a palindrome (60226444462206).

The spelling of 20202140342004 in words is "twenty trillion, two hundred two billion, one hundred forty million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 457 914 1371 1828 2543 2742 5086 5484 7629 8683 10172 15258 17366 26049 30516 34732 48317 52098 76243 96634 104196 144951 152486 193268 228729 289902 304972 457458 579804 914916 1162151 1448617 2324302 2897234 3486453 4345851 4648604 5794468 6972906 8691702 13945812 17383404 22080869 34843051 44161738 66242607 69686102 88323476 104529153 132485214 139372204 193885949 209058306 264970428 387771898 418116612 581657847 662017969 775543796 1163315694 1324035938 1986053907 2326631388 2648071876 3683833031 3972107814 7367666062 7944215628 11051499093 14735332124 22102998186 44205996372 88605878693 177211757386 265817636079 354423514772 531635272158 1063270544316 1683511695167 3367023390334 5050535085501 6734046780668 10101070171002 20202140342004