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40403411004 = 2231119107150559
BaseRepresentation
bin100101101000001110…
…110010000000111100
310212021210010221100210
4211220032302000330
51130221233123004
630321105152420
72630143220115
oct455016620074
9125253127323
1040403411004
1116153743770
1279b702b710
133a6b8195b8
141d53dbd20c
1510b7121089
hex9683b203c

40403411004 has 96 divisors (see below), whose sum is σ = 109270425600. Its totient is φ = 11490586560.

The previous prime is 40403410991. The next prime is 40403411039. The reversal of 40403411004 is 40011430404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193077 + ... + 343635.

It is an arithmetic number, because the mean of its divisors is an integer number (1138233600).

Almost surely, 240403411004 is an apocalyptic number.

40403411004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40403411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54635212800).

40403411004 is an abundant number, since it is smaller than the sum of its proper divisors (68867014596).

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

40403411004 is a wasteful number, since it uses less digits than its factorization.

40403411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150703 (or 150701 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40403411004 its reverse (40011430404), we get a palindrome (80414841408).

The spelling of 40403411004 in words is "forty billion, four hundred three million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 107 114 132 209 214 228 321 418 428 627 642 836 1177 1254 1284 2033 2354 2508 3531 4066 4708 6099 7062 8132 12198 14124 22363 24396 44726 67089 89452 134178 150559 268356 301118 451677 602236 903354 1656149 1806708 2860621 3312298 4968447 5721242 6624596 8581863 9936894 11442484 16109813 17163726 19873788 31466831 32219626 34327452 48329439 62933662 64439252 94400493 96658878 125867324 177207943 188800986 193317756 306086447 354415886 377601972 531623829 612172894 708831772 918259341 1063247658 1224345788 1836518682 2126495316 3366950917 3673037364 6733901834 10100852751 13467803668 20201705502 40403411004