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40045330100 = 22524713961297
BaseRepresentation
bin100101010010111000…
…110011111010110100
310211100211100112201002
4211102320303322310
51124003101030400
630221354222432
72615234455346
oct452270637264
9124324315632
1040045330100
1115a8a5aa236
127917124a18
133a125941c9
141d1c60b296
15109598ced5
hex952e33eb4

40045330100 has 72 divisors (see below), whose sum is σ = 89387195520. Its totient is φ = 15564280320.

The previous prime is 40045330099. The next prime is 40045330159. The reversal of 40045330100 is 103354004.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 622652 + ... + 683948.

Almost surely, 240045330100 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 40045330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693597760).

40045330100 is an abundant number, since it is smaller than the sum of its proper divisors (49341865420).

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

40045330100 is a wasteful number, since it uses less digits than its factorization.

40045330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61497 (or 61490 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 40045330100 its reverse (103354004), we get a palindrome (40148684104).

The spelling of 40045330100 in words is "forty billion, forty-five million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 139 188 235 278 470 556 695 940 1175 1390 2350 2780 3475 4700 6533 6950 13066 13900 26132 32665 61297 65330 122594 130660 163325 245188 306485 326650 612970 653300 1225940 1532425 2880959 3064850 5761918 6129700 8520283 11523836 14404795 17040566 28809590 34081132 42601415 57619180 72023975 85202830 144047950 170405660 213007075 288095900 400453301 426014150 800906602 852028300 1601813204 2002266505 4004533010 8009066020 10011332525 20022665050 40045330100