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41023423432040 = 2357596014131877
BaseRepresentation
bin10010101001111100000101…
…00101001100010101101000
312101020210121220200001221112
421110332002211030111220
520334111432344311130
6223125522304125452
711432562450506060
oct1124760245142550
9171223556601845
1041023423432040
1112086a3305a165
124726745606888
1319b765257935a
14a1b7897543a0
154b21a7a34495
hex254f8294c568

41023423432040 has 128 divisors (see below), whose sum is σ = 107455272019200. Its totient is φ = 13803771340800.

The previous prime is 41023423432027. The next prime is 41023423432109. The reversal of 41023423432040 is 4023432432014.

It is a junction number, because it is equal to n+sod(n) for n = 41023423431988 and 41023423432006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7862582 + ... + 11994458.

It is an arithmetic number, because the mean of its divisors is an integer number (839494312650).

Almost surely, 241023423432040 is an apocalyptic number.

41023423432040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41023423432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53727636009600).

41023423432040 is an abundant number, since it is smaller than the sum of its proper divisors (66431848587160).

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

41023423432040 is a wasteful number, since it uses less digits than its factorization.

41023423432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132555 (or 4132551 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 41023423432040 its reverse (4023432432014), we get a palindrome (45046855864054).

The spelling of 41023423432040 in words is "forty-one trillion, twenty-three billion, four hundred twenty-three million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 601 826 1180 1202 1652 2065 2360 2404 3005 3304 4130 4207 4808 6010 8260 8414 12020 16520 16828 21035 24040 33656 35459 42070 70918 84140 141836 168280 177295 248213 283672 354590 496426 709180 992852 1241065 1418360 1985704 2482130 4131877 4964260 8263754 9928520 16527508 20659385 28923139 33055016 41318770 57846278 82637540 115692556 144615695 165275080 231385112 243780743 289231390 487561486 578462780 975122972 1156925560 1218903715 1706465201 1950245944 2437807430 2483258077 3412930402 4875614860 4966516154 6825860804 8532326005 9751229720 9933032308 12416290385 13651721608 17064652010 17382806539 19866064616 24832580770 34129304020 34765613078 49665161540 68258608040 69531226156 86914032695 99330323080 139062452312 146512226543 173828065390 293024453086 347656130780 586048906172 695312261560 732561132715 1025585585801 1172097812344 1465122265430 2051171171602 2930244530860 4102342343204 5127927929005 5860489061720 8204684686408 10255855858010 20511711716020 41023423432040