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40680797184 = 21035163487
BaseRepresentation
bin100101111000110000…
…111011010000000000
310220000010002121200000
4211320300323100000
51131303241002214
630404414400000
72640052033146
oct457060732000
9126003077600
1040680797184
1116286282045
127a73b00000
133ab412a331
141d7cb87596
1510d1664809
hex978c3b400

40680797184 has 132 divisors (see below), whose sum is σ = 121816216704. Its totient is φ = 13560182784.

The previous prime is 40680797177. The next prime is 40680797189. The reversal of 40680797184 is 48179708604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40680797184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40680797189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167089 + ... + 330575.

Almost surely, 240680797184 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 40680797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60908108352).

40680797184 is an abundant number, since it is smaller than the sum of its proper divisors (81135419520).

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

40680797184 is an equidigital number, since it uses as much as digits as its factorization.

40680797184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163522 (or 163492 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 40680797184 in words is "forty billion, six hundred eighty million, seven hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 124416 163487 248832 326974 490461 653948 980922 1307896 1471383 1961844 2615792 2942766 3923688 4414149 5231584 5885532 7847376 8828298 10463168 11771064 13242447 15694752 17656596 20926336 23542128 26484894 31389504 35313192 39727341 41852672 47084256 52969788 62779008 70626384 79454682 83705344 94168512 105939576 125558016 141252768 158909364 167410688 188337024 211879152 251116032 282505536 317818728 376674048 423758304 502232064 565011072 635637456 753348096 847516608 1130022144 1271274912 1506696192 1695033216 2260044288 2542549824 3390066432 4520088576 5085099648 6780132864 10170199296 13560265728 20340398592 40680797184