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40716441540 = 22325415517133
BaseRepresentation
bin100101111010111000…
…111001011111000100
310220002121011112112100
4211322320321133010
51131341402112130
630412130352100
72640664020435
oct457270713704
9126077145470
1040716441540
11162a4408195
127a83a2b630
133abb62a478
141d837c548c
1510d4855c60
hex97ae397c4

40716441540 has 72 divisors (see below), whose sum is σ = 126518916888. Its totient is φ = 10592893440.

The previous prime is 40716441401. The next prime is 40716441551. The reversal of 40716441540 is 4514461704.

It is a happy number.

40716441540 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 644 + 1 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2042859204 + 38673582336 = 45198^2 + 196656^2 .

It is a super-2 number, since 2×407164415402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40716441495 and 40716441504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751187 + ... + 2765946.

It is an arithmetic number, because the mean of its divisors is an integer number (1757207179).

Almost surely, 240716441540 is an apocalyptic number.

It is an amenable number.

40716441540 is an abundant number, since it is smaller than the sum of its proper divisors (85802475348).

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

40716441540 is a wasteful number, since it uses less digits than its factorization.

40716441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517189 (or 5517184 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40716441540 in words is "forty billion, seven hundred sixteen million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 5517133 11034266 16551399 22068532 27585665 33102798 49654197 55171330 66205596 82756995 99308394 110342660 165513990 198616788 226202453 248270985 331027980 452404906 496541970 678607359 904809812 993083940 1131012265 1357214718 2035822077 2262024530 2714429436 3393036795 4071644154 4524049060 6786073590 8143288308 10179110385 13572147180 20358220770 40716441540