Search a number
-
+
204143331414 = 2311231077871597
BaseRepresentation
bin1011111000011111100…
…1000000100001010110
3201111221002200201200110
42332013321000201112
511321041143101124
6233440540023450
720514601454301
oct2760771004126
9644832621613
10204143331414
1179638652440
1233693231b86
1316334846379
149c484a5b38
15549c0ad029
hex2f87e40856

204143331414 has 128 divisors (see below), whose sum is σ = 470002839552. Its totient is φ = 58507827840.

The previous prime is 204143331401. The next prime is 204143331449. The reversal of 204143331414 is 414133341402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127828464 + ... + 127830060.

It is an arithmetic number, because the mean of its divisors is an integer number (3671897184).

Almost surely, 2204143331414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204143331414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235001419776).

204143331414 is an abundant number, since it is smaller than the sum of its proper divisors (265859508138).

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

204143331414 is a wasteful number, since it uses less digits than its factorization.

204143331414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 204143331414 its reverse (414133341402), we get a palindrome (618276672816).

The spelling of 204143331414 in words is "two hundred four billion, one hundred forty-three million, three hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 107 138 214 253 321 506 642 759 787 1177 1518 1574 1597 2354 2361 2461 3194 3531 4722 4791 4922 7062 7383 8657 9582 14766 17314 17567 18101 25971 27071 35134 36202 36731 51942 52701 54142 54303 73462 81213 84209 105402 108606 110193 162426 168418 170879 199111 220386 252627 341758 398222 404041 505254 512637 597333 808082 926299 1025274 1194666 1212123 1256839 1852598 1879669 1936807 2424246 2513678 2778897 3759338 3770517 3873614 3930217 5557794 5639007 5810421 7541034 7860434 11278014 11620842 11790651 13825229 21304877 23581302 27650458 28907297 41475687 42609754 43232387 57814594 63914631 82951374 86464774 86721891 127829262 129697161 134481773 173443782 259394322 268963546 317980267 403445319 635960534 806890638 953940801 1479299503 1907881602 2958599006 3093080779 4437898509 6186161558 8875797018 9279242337 18558484674 34023888569 68047777138 102071665707 204143331414