Search a number
-
+
41070901056 = 263319417333
BaseRepresentation
bin100110010000000001…
…000011011101000000
310221000022010221120120
4212100001003131000
51133103122313211
630511231540240
72652526620213
oct462001033500
9127008127516
1041070901056
11164664a8939
127b6268a680
133b46bb5423
141db88d377a
151105a20d06
hex990043740

41070901056 has 112 divisors (see below), whose sum is σ = 112306656768. Its totient is φ = 13232793600.

The previous prime is 41070901031. The next prime is 41070901057. The reversal of 41070901056 is 65010907014.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41070901057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5597166 + ... + 5604498.

Almost surely, 241070901056 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 41070901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56153328384).

41070901056 is an abundant number, since it is smaller than the sum of its proper divisors (71235755712).

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

41070901056 is a wasteful number, since it uses less digits than its factorization.

41070901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 41070901056 in words is "forty-one billion, seventy million, nine hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 941 992 1488 1882 1984 2823 2976 3764 5646 5952 7333 7528 11292 14666 15056 21999 22584 29171 29332 30112 43998 45168 58342 58664 60224 87513 87996 90336 116684 117328 175026 175992 180672 227323 233368 234656 350052 351984 454646 466736 469312 681969 700104 703968 909292 933472 1363938 1400208 1407936 1818584 1866944 2727876 2800416 3637168 5455752 5600832 6900353 7274336 10911504 13800706 14548672 20701059 21823008 27601412 41402118 43646016 55202824 82804236 110405648 165608472 213910943 220811296 331216944 427821886 441622592 641732829 662433888 855643772 1283465658 1324867776 1711287544 2566931316 3422575088 5133862632 6845150176 10267725264 13690300352 20535450528 41070901056