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40404104300 = 22527891993259
BaseRepresentation
bin100101101000010001…
…011011010001101100
310212021211110011101102
4211220101123101230
51130221422314200
630321132102232
72630152135310
oct455021332154
9125254404342
1040404104300
111615407763a
1279b7304978
133a6ba00031
141d5411db40
1510b720b6d5
hex96845b46c

40404104300 has 144 divisors (see below), whose sum is σ = 101868480000. Its totient is φ = 13624174080.

The previous prime is 40404104263. The next prime is 40404104317. The reversal of 40404104300 is 340140404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12396071 + ... + 12399329.

It is an arithmetic number, because the mean of its divisors is an integer number (707420000).

Almost surely, 240404104300 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 40404104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50934240000).

40404104300 is an abundant number, since it is smaller than the sum of its proper divisors (61464375700).

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

40404104300 is a wasteful number, since it uses less digits than its factorization.

40404104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40404104300 its reverse (340140404), we get a palindrome (40744244704).

The spelling of 40404104300 in words is "forty billion, four hundred four million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 199 350 356 398 445 623 700 796 890 995 1246 1393 1780 1990 2225 2492 2786 3115 3259 3980 4450 4975 5572 6230 6518 6965 8900 9950 12460 13036 13930 15575 16295 17711 19900 22813 27860 31150 32590 34825 35422 45626 62300 65180 69650 70844 81475 88555 91252 114065 123977 139300 162950 177110 228130 247954 290051 325900 354220 442775 456260 495908 570325 580102 619885 648541 885550 1140650 1160204 1239770 1297082 1450255 1771100 2030357 2281300 2479540 2594164 2900510 3099425 3242705 4060714 4539787 5801020 6198850 6485410 7251275 8121428 9079574 10151785 12397700 12970820 14502550 16213525 18159148 20303570 22698935 29005100 32427050 40607140 45397870 50758925 57720149 64854100 90795740 101517850 113494675 115440298 203035700 226989350 230880596 288600745 404041043 453978700 577201490 808082086 1154402980 1443003725 1616164172 2020205215 2886007450 4040410430 5772014900 8080820860 10101026075 20202052150 40404104300