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4213220320242 = 2341737290314243
BaseRepresentation
bin111101010011110111100…
…000000010001111110010
3112220210001120100020110000
4331103313200002033302
51023012133400221432
612543305433250430
7613252345553613
oct75236740021762
915823046306400
104213220320242
1113848a903a06a
12580672b63a16
132473c70399bb
14107cc713bc0a
15748deda157c
hex3d4f78023f2

4213220320242 has 160 divisors (see below), whose sum is σ = 10270493304192. Its totient is φ = 1285537153536.

The previous prime is 4213220320229. The next prime is 4213220320247. The reversal of 4213220320242 is 2420230223124.

4213220320242 is a `hidden beast` number, since 4 + 213 + 2 + 203 + 2 + 0 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4213220320247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 295802773 + ... + 295817015.

Almost surely, 24213220320242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213220320242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135246652096).

4213220320242 is an abundant number, since it is smaller than the sum of its proper divisors (6057272983950).

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

4213220320242 is a wasteful number, since it uses less digits than its factorization.

4213220320242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17214 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4213220320242 its reverse (2420230223124), we get a palindrome (6633450543366).

The spelling of 4213220320242 in words is "four trillion, two hundred thirteen billion, two hundred twenty million, three hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2754 2903 2997 3774 5661 5806 5994 8709 11322 14243 16983 17418 26127 28486 33966 42729 49351 50949 52254 78381 85458 98702 101898 107411 128187 148053 156762 214822 235143 242131 256374 296106 322233 384561 444159 470286 484262 526991 644466 726393 769122 888318 966699 1053982 1153683 1332477 1452786 1580973 1825987 1933398 2179179 2307366 2664954 2900097 3161946 3651974 3997431 4358358 4742919 5477961 5800194 6537537 7994862 8700291 8958847 9485838 10955922 13075074 14228757 16433883 17400582 17917694 19612611 26876541 28457514 32867766 39225222 41347429 42686271 49301649 53753082 80629623 82694858 85372542 98603298 124042287 147904947 161259246 241888869 248084574 295809894 372126861 483777738 702906293 725666607 744253722 1116380583 1405812586 1451333214 1529854873 2108718879 2232761166 3059709746 3349141749 4217437758 4589564619 6326156637 6698283498 9179129238 12652313274 13768693857 18978469911 26007532841 27537387714 37956939822 41306081571 52015065682 56935409733 78022598523 82612163142 113870819466 123918244713 156045197046 234067795569 247836489426 468135591138 702203386707 1404406773414 2106610160121 4213220320242