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20451401040 = 2435712173453
BaseRepresentation
bin10011000010111111…
…111001110101010000
31221210021220211001210
4103002333321311100
5313341024313130
613221212300120
71322543016630
oct230277716520
957707824053
1020451401040
118745312334
123b69171640
131c0c075245
14dc022a6c0
157ea6d45b0
hex4c2ff9d50

20451401040 has 80 divisors (see below), whose sum is σ = 72456398208. Its totient is φ = 4674605568.

The previous prime is 20451401039. The next prime is 20451401041. The reversal of 20451401040 is 4010415402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20451401039) and next prime (20451401041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20451400998 and 20451401016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20451401041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085047 + ... + 6088406.

Almost surely, 220451401040 is an apocalyptic number.

20451401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20451401040 is an abundant number, since it is smaller than the sum of its proper divisors (52004997168).

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

20451401040 is a wasteful number, since it uses less digits than its factorization.

20451401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173476 (or 12173470 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 20451401040 its reverse (4010415402), we get a palindrome (24461816442).

The spelling of 20451401040 in words is "twenty billion, four hundred fifty-one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12173453 24346906 36520359 48693812 60867265 73040718 85214171 97387624 121734530 146081436 170428342 182601795 194775248 243469060 255642513 292162872 340856684 365203590 426070855 486938120 511285026 584325744 681713368 730407180 852141710 973876240 1022570052 1278212565 1363426736 1460814360 1704283420 2045140104 2556425130 2921628720 3408566840 4090280208 5112850260 6817133680 10225700520 20451401040