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4022314424420 = 2251923737394027
BaseRepresentation
bin111010100010000100100…
…111110101100001100100
3112020112022000012220121212
4322202010213311201210
51011400144443040140
612315454205330552
7563413462326065
oct72420447654144
915215260186555
104022314424420
1113109436a3a46
1254b674b66a58
132323c1b28b76
14dc976b6a56c
156e969ee6765
hex3a8849f5864

4022314424420 has 144 divisors (see below), whose sum is σ = 9160494678720. Its totient is φ = 1482284821248.

The previous prime is 4022314424411. The next prime is 4022314424441. The reversal of 4022314424420 is 244244132204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998834447 + ... + 998838473.

It is an arithmetic number, because the mean of its divisors is an integer number (63614546380).

Almost surely, 24022314424420 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 4022314424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580247339360).

4022314424420 is an abundant number, since it is smaller than the sum of its proper divisors (5138180254300).

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

4022314424420 is a wasteful number, since it uses less digits than its factorization.

4022314424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4022314424420 its reverse (244244132204), we get a palindrome (4266558556624).

The spelling of 4022314424420 in words is "four trillion, twenty-two billion, three hundred fourteen million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 361 370 380 703 722 740 1406 1444 1805 2812 3515 3610 3739 4027 7030 7220 7478 8054 13357 14060 14956 16108 18695 20135 26714 37390 40270 53428 66785 71041 74780 76513 80540 133570 138343 142082 148999 153026 267140 276686 284164 297998 306052 355205 382565 553372 595996 691715 710410 744995 765130 1349779 1383430 1420820 1453747 1489990 1530260 2628517 2699558 2766860 2830981 2907494 2979980 5257034 5399116 5661962 5814988 6748895 7268735 10514068 11323924 13142585 13497790 14154905 14537470 15056953 26285170 26995580 28309810 29074940 30113906 49941823 52570340 53788639 56619620 60227812 75284765 99883646 107577278 150569530 199767292 215154556 249709115 268943195 286082107 301139060 499418230 537886390 557107261 572164214 998836460 1075772780 1114214522 1144328428 1430410535 2228429044 2785536305 2860821070 5435560033 5571072610 5721642140 10585037959 10871120066 11142145220 21170075918 21742240132 27177800165 42340151836 52925189795 54355600330 105850379590 108711200660 201115721221 211700759180 402231442442 804462884884 1005578606105 2011157212210 4022314424420