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42203013144 = 23341191431521
BaseRepresentation
bin100111010011011111…
…101110000000011000
311000221012102012101220
4213103133232000120
51142412432410034
631215433012040
73022554456435
oct472337560030
9130835365356
1042203013144
1116997556466
128219854020
133c975ca536
142084dd0b8c
1511700eb749
hex9d37ee018

42203013144 has 128 divisors (see below), whose sum is σ = 109107855360. Its totient is φ = 13594880000.

The previous prime is 42203013137. The next prime is 42203013211. The reversal of 42203013144 is 44131030224.

42203013144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 81003604 + ... + 81004124.

It is an arithmetic number, because the mean of its divisors is an integer number (852405120).

Almost surely, 242203013144 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 42203013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54553927680).

42203013144 is an abundant number, since it is smaller than the sum of its proper divisors (66904842216).

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

42203013144 is a wasteful number, since it uses less digits than its factorization.

42203013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42203013144 its reverse (44131030224), we get a palindrome (86334043368).

The spelling of 42203013144 in words is "forty-two billion, two hundred three million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 191 246 328 382 431 492 521 573 764 862 984 1042 1146 1293 1528 1563 1724 2084 2292 2586 3126 3448 4168 4584 5172 6252 7831 10344 12504 15662 17671 21361 23493 31324 35342 42722 46986 53013 62648 64083 70684 82321 85444 93972 99511 106026 128166 141368 164642 170888 187944 199022 212052 224551 246963 256332 298533 329284 398044 424104 449102 493926 512664 597066 658568 673653 796088 898204 987852 1194132 1347306 1796408 1975704 2388264 2694612 3375161 4079951 5389224 6750322 8159902 9206591 10125483 12239853 13500644 16319804 18413182 20250966 24479706 27001288 27619773 32639608 36826364 40501932 42889241 48959412 55239546 73652728 81003864 85778482 97918824 110479092 128667723 171556964 220958184 257335446 343113928 514670892 1029341784 1758458881 3516917762 5275376643 7033835524 10550753286 14067671048 21101506572 42203013144