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40477245696 = 283346112703
BaseRepresentation
bin100101101100101000…
…011100000100000000
310212110221002010112000
4211230220130010000
51130344133330241
630332303504000
72632030624446
oct455450340400
9125427063460
1040477245696
1116191393878
127a178b8000
133a80bcb674
141d5db1cb96
1510bd857eb6
hex96ca1c100

40477245696 has 144 divisors (see below), whose sum is σ = 119967429120. Its totient is φ = 13462087680.

The previous prime is 40477245691. The next prime is 40477245713. The reversal of 40477245696 is 69654277404.

40477245696 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 72 + 4 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (40477245691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3180081 + ... + 3192783.

Almost surely, 240477245696 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 40477245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59983714560).

40477245696 is an abundant number, since it is smaller than the sum of its proper divisors (79490183424).

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

40477245696 is a wasteful number, since it uses less digits than its factorization.

40477245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13189 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 40477245696 in words is "forty billion, four hundred seventy-seven million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 461 576 768 864 922 1152 1383 1728 1844 2304 2766 3456 3688 4149 5532 6912 7376 8298 11064 12447 12703 14752 16596 22128 24894 25406 29504 33192 38109 44256 49788 50812 59008 66384 76218 88512 99576 101624 114327 118016 132768 152436 177024 199152 203248 228654 265536 304872 342981 354048 398304 406496 457308 531072 609744 685962 796608 812992 914616 1062144 1219488 1371924 1593216 1625984 1829232 2438976 2743848 3186432 3251968 3658464 4877952 5487696 5856083 7316928 9755904 10975392 11712166 14633856 17568249 21950784 23424332 29267712 35136498 43901568 46848664 52704747 70272996 87803136 93697328 105409494 140545992 158114241 187394656 210818988 281091984 316228482 374789312 421637976 562183968 632456964 749578624 843275952 1124367936 1264913928 1499157248 1686551904 2248735872 2529827856 3373103808 4497471744 5059655712 6746207616 10119311424 13492415232 20238622848 40477245696