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40011104340 = 2232527722897
BaseRepresentation
bin100101010000110110…
…010000000001010100
310211021102221200210100
4211100312100001110
51123420320314330
630214132454100
72614340526654
oct452066200124
9124242850710
1040011104340
1115a72252989
12790777a330
133a0846c98c
141d17c5c364
15109297c060
hex950d90054

40011104340 has 108 divisors (see below), whose sum is σ = 121848792156. Its totient is φ = 10627439616.

The previous prime is 40011104333. The next prime is 40011104377. The reversal of 40011104340 is 4340111004.

It can be written as a sum of positive squares in 6 ways, for example, as 14626967364 + 25384136976 = 120942^2 + 159324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13809772 + ... + 13812668.

It is an arithmetic number, because the mean of its divisors is an integer number (1128229557).

Almost surely, 240011104340 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 40011104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60924396078).

40011104340 is an abundant number, since it is smaller than the sum of its proper divisors (81837687816).

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

40011104340 is a wasteful number, since it uses less digits than its factorization.

40011104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40011104340 its reverse (4340111004), we get a palindrome (44351215344).

The spelling of 40011104340 in words is "forty billion, eleven million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 2897 3324 4155 4986 5540 5794 8310 8691 9972 11588 12465 14485 16620 17382 24930 26073 28970 34764 43455 49860 52146 57940 76729 86910 104292 130365 153458 173820 230187 260730 306916 383645 460374 521460 690561 767290 802469 920748 1150935 1381122 1534580 1604938 2301870 2407407 2762244 3209876 3452805 4012345 4603740 4814814 6905610 7222221 8024690 9629628 12037035 13811220 14444442 16049380 24074070 28888884 36111105 48148140 72222210 144444420 222283913 444567826 666851739 889135652 1111419565 1333703478 2000555217 2222839130 2667406956 3334258695 4001110434 4445678260 6668517390 8002220868 10002776085 13337034780 20005552170 40011104340