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40403130100 = 22528311714157
BaseRepresentation
bin100101101000001101…
…101101011011110100
310212021202121200000221
4211220031231123310
51130221200130400
630321055144124
72630140640134
oct455015553364
9125252550027
1040403130100
1116153571713
1279b6b15044
133a6b74b798
141d53d48ac4
1510b70b7c1a
hex96836d6f4

40403130100 has 72 divisors (see below), whose sum is σ = 88828252128. Its totient is φ = 15949065600.

The previous prime is 40403130059. The next prime is 40403130143. The reversal of 40403130100 is 103130404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9717222 + ... + 9721378.

It is an arithmetic number, because the mean of its divisors is an integer number (1233725724).

Almost surely, 240403130100 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 40403130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44414126064).

40403130100 is an abundant number, since it is smaller than the sum of its proper divisors (48425122028).

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

40403130100 is a wasteful number, since it uses less digits than its factorization.

40403130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40403130100 its reverse (103130404), we get a palindrome (40506260504).

The spelling of 40403130100 in words is "forty billion, four hundred three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1171 1660 2075 2342 4150 4157 4684 5855 8300 8314 11710 16628 20785 23420 29275 41570 58550 83140 97193 103925 117100 194386 207850 345031 388772 415700 485965 690062 971930 1380124 1725155 1943860 2429825 3450310 4859650 4867847 6900620 8625775 9719300 9735694 17251550 19471388 24339235 34503100 48678470 97356940 121696175 243392350 404031301 486784700 808062602 1616125204 2020156505 4040313010 8080626020 10100782525 20201565050 40403130100