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20402214144 = 283132043491
BaseRepresentation
bin10011000000000100…
…010001010100000000
31221122212100212022220
4103000010101110000
5313240431323034
613212254131040
71321404646614
oct230004212400
957585325286
1020402214144
11871a577504
123b547b0a80
131c01b12c80
14db78a5344
157e621a749
hex4c0111500

20402214144 has 72 divisors (see below), whose sum is σ = 58476567072. Its totient is φ = 6277601280.

The previous prime is 20402214143. The next prime is 20402214167. The reversal of 20402214144 is 44141220402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402214143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011762 + ... + 1031729.

Almost surely, 220402214144 is an apocalyptic number.

20402214144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20402214144 is an abundant number, since it is smaller than the sum of its proper divisors (38074352928).

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

20402214144 is a wasteful number, since it uses less digits than its factorization.

20402214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043523 (or 2043509 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20402214144 its reverse (44141220402), we get a palindrome (64543434546).

The spelling of 20402214144 in words is "twenty billion, four hundred two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 2043491 4086982 6130473 8173964 12260946 16347928 24521892 26565383 32695856 49043784 53130766 65391712 79696149 98087568 106261532 130783424 159392298 196175136 212523064 261566848 318784596 392350272 425046128 523133696 637569192 784700544 850092256 1275138384 1569401088 1700184512 2550276768 3400369024 5100553536 6800738048 10201107072 20402214144