Search a number
-
+
4042112323210 = 25131756914932153
BaseRepresentation
bin111010110100100000101…
…010110100111010001010
3112022102101202110101010121
4322310200222310322022
51012211221223320320
612332530515133454
7565014211564453
oct72644052647212
915272352411117
104042112323210
111319283035375
1255347b2a428a
13234228691c90
14dd8d428412a
15702281408aa
hex3ad20ab4e8a

4042112323210 has 128 divisors (see below), whose sum is σ = 8320399859520. Its totient is φ = 1400621039616.

The previous prime is 4042112323177. The next prime is 4042112323213. The reversal of 4042112323210 is 123232112404.

It can be written as a sum of positive squares in 32 ways, for example, as 466938522241 + 3575173800969 = 683329^2 + 1890813^2 .

It is a super-2 number, since 2×40421123232102 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042112323213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877431494 + ... + 1877433646.

Almost surely, 24042112323210 is an apocalyptic number.

4042112323210 is an abundant number, since it is smaller than the sum of its proper divisors (4278287536310).

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

4042112323210 is a wasteful number, since it uses less digits than its factorization.

4042112323210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4042112323210 its reverse (123232112404), we get a palindrome (4165344435614).

The spelling of 4042112323210 in words is "four trillion, forty-two billion, one hundred twelve million, three hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 569 1105 1138 1493 2153 2210 2845 2986 4306 5690 7397 7465 9673 10765 14794 14930 19346 19409 21530 25381 27989 36601 36985 38818 48365 50762 55978 73202 73970 96730 97045 125749 126905 139945 183005 194090 251498 253810 279890 329953 366010 475813 628745 659906 849517 951626 1225057 1257490 1649765 1699034 2379065 2450114 3214429 3299530 4247585 4758130 6125285 6428858 8495170 11043721 12250570 14441789 15925741 16072145 20825969 22087442 28883578 31851482 32144290 41651938 41787577 54645293 55218605 72208945 79628705 83575154 104129845 109290586 110437210 144417890 159257410 187743257 208259690 208937885 270737597 273226465 375486514 417875770 541475194 546452930 710388809 938716285 1353687985 1420777618 1829010101 1877432570 2707375970 3551944045 3658020202 7103888090 9145050505 18290101010 23777131313 31093171717 47554262626 62186343434 118885656565 155465858585 237771313130 310931717170 404211232321 808422464642 2021056161605 4042112323210