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4021444432104 = 2331171947226553
BaseRepresentation
bin111010100001010000110…
…001000101000011101000
3112020110001101011201112020
4322201100301011003220
51011341404233311404
612315232010344440
7563353066450251
oct72412061050350
915213041151466
104021444432104
1113105375a7930
1254b47172b120
132322b380ab08
14dc8d33c1b28
156e918945ed9
hex3a850c450e8

4021444432104 has 128 divisors (see below), whose sum is σ = 11133842273280. Its totient is φ = 1200181875200.

The previous prime is 4021444432079. The next prime is 4021444432123. The reversal of 4021444432104 is 4012344441204.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 17637292 + ... + 17863844.

It is an arithmetic number, because the mean of its divisors is an integer number (86983142760).

Almost surely, 24021444432104 is an apocalyptic number.

4021444432104 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 4021444432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566921136640).

4021444432104 is an abundant number, since it is smaller than the sum of its proper divisors (7112397841176).

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

4021444432104 is a wasteful number, since it uses less digits than its factorization.

4021444432104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227591 (or 227587 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4021444432104 its reverse (4012344441204), we get a palindrome (8033788873308).

The spelling of 4021444432104 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 947 1562 1704 1894 2343 2841 3124 3788 4686 5682 6248 7576 9372 10417 11364 18744 20834 22728 31251 41668 62502 67237 83336 125004 134474 201711 226553 250008 268948 403422 453106 537896 679659 739607 806844 906212 1359318 1479214 1613688 1812424 2218821 2492083 2718636 2958428 4437642 4984166 5437272 5916856 7476249 8875284 9968332 14952498 16085263 17750568 19936664 29904996 32170526 48255789 59809992 64341052 96511578 128682104 176937893 193023156 214545691 353875786 386046312 429091382 530813679 643637073 707751572 858182764 1061627358 1287274146 1415503144 1716365528 2123254716 2360002601 2574548292 4246509432 4720005202 5149096584 7080007803 9440010404 14160015606 15232744061 18880020808 28320031212 30465488122 45698232183 56640062424 60930976244 91396464366 121861952488 167560184671 182792928732 335120369342 365585857464 502680554013 670240738684 1005361108026 1340481477368 2010722216052 4021444432104