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41930291144 = 2373779725391
BaseRepresentation
bin100111000011001111…
…010111011111001000
311000020012020111011002
4213003033113133020
51141333123304034
631132411354132
73013033410530
oct470317273710
9130205214132
1041930291144
1116867613385
128162452948
133c52c60781
14205aabc4c0
1511561c9e7e
hex9c33d77c8

41930291144 has 64 divisors (see below), whose sum is σ = 92398440960. Its totient is φ = 17461820160.

The previous prime is 41930291131. The next prime is 41930291167. The reversal of 41930291144 is 44119203914.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41930291098 and 41930291107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638689 + ... + 1664079.

It is an arithmetic number, because the mean of its divisors is an integer number (1443725640).

Almost surely, 241930291144 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 41930291144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46199220480).

41930291144 is an abundant number, since it is smaller than the sum of its proper divisors (50468149816).

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

41930291144 is a wasteful number, since it uses less digits than its factorization.

41930291144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26238 (or 26234 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 41930291144 in words is "forty-one billion, nine hundred thirty million, two hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 797 1036 1594 2072 3188 5579 6376 11158 22316 25391 29489 44632 50782 58978 101564 117956 177737 203128 206423 235912 355474 412846 710948 825692 939467 1421896 1651384 1878934 3757868 6576269 7515736 13152538 20236627 26305076 40473254 52610152 80946508 141656389 161893016 283312778 566625556 748755199 1133251112 1497510398 2995020796 5241286393 5990041592 10482572786 20965145572 41930291144