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4041440030144 = 261179613118543
BaseRepresentation
bin111010110011111000100…
…110001110110111000000
3112022100122220102100102102
4322303320212032313000
51012203332121431034
612332340101405532
7564661436311406
oct72637046166700
915270586370372
104041440030144
111318a6859a670
125533121098a8
1323414c303c2a
14dd86cc7d476
15701d90e297e
hex3acf898edc0

4041440030144 has 112 divisors (see below), whose sum is σ = 8874071070720. Its totient is φ = 1810790691840.

The previous prime is 4041440030129. The next prime is 4041440030179. The reversal of 4041440030144 is 4410300441404.

It is a congruent number.

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, 34033337 + ... + 34151879.

Almost surely, 24041440030144 is an apocalyptic number.

4041440030144 is a gapful number since it is divisible by the number (44) 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 4041440030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437035535360).

4041440030144 is an abundant number, since it is smaller than the sum of its proper divisors (4832631040576).

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

4041440030144 is a wasteful number, since it uses less digits than its factorization.

4041440030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119258 (or 119248 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4041440030144 its reverse (4410300441404), we get a palindrome (8451740471548).

The spelling of 4041440030144 in words is "four trillion, forty-one billion, four hundred forty million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 613 632 704 869 1226 1264 1738 2452 2528 3476 4904 5056 6743 6952 9808 13486 13904 19616 26972 27808 39232 48427 53944 55616 96854 107888 118543 193708 215776 237086 387416 431552 474172 532697 774832 948344 1065394 1303973 1549664 1896688 2130788 2607946 3099328 3793376 4261576 5215892 7586752 8523152 9364897 10431784 17046304 18729794 20863568 34092608 37459588 41727136 72666859 74919176 83454272 103013867 145333718 149838352 206027734 290667436 299676704 412055468 581334872 599353408 799335449 824110936 1162669744 1598670898 1648221872 2325339488 3197341796 3296443744 4650678976 5740681861 6394683592 6592887488 11481363722 12789367184 22962727444 25578734368 45925454888 51157468736 63147500471 91850909776 126295000942 183701819552 252590001884 367403639104 505180003768 1010360007536 2020720015072 4041440030144