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41419940820 = 223537149125219
BaseRepresentation
bin100110100100110100…
…100010001111010100
310221220121221000010020
4212210310202033110
51134312001101240
631010021025140
72664265454646
oct464464421724
9127817830106
1041419940820
1116625527655
12803b5551b0
133ba12c352b
14200cdd0896
1511264ba0d0
hex9a4d223d4

41419940820 has 96 divisors (see below), whose sum is σ = 119910672000. Its totient is φ = 10674584064.

The previous prime is 41419940797. The next prime is 41419940831. The reversal of 41419940820 is 2804991414.

It is a happy number.

It is a super-2 number, since 2×414199408202 (a number of 22 digits) contains 22 as substring.

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, 268171 + ... + 393389.

It is an arithmetic number, because the mean of its divisors is an integer number (1249069500).

Almost surely, 241419940820 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 41419940820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59955336000).

41419940820 is an abundant number, since it is smaller than the sum of its proper divisors (78490731180).

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

41419940820 is a wasteful number, since it uses less digits than its factorization.

41419940820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125417 (or 125415 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 41419940820 in words is "forty-one billion, four hundred nineteen million, nine hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 149 185 222 298 370 444 447 555 596 740 745 894 1110 1490 1788 2220 2235 2980 4470 5513 8940 11026 16539 22052 27565 33078 55130 66156 82695 110260 125219 165390 250438 330780 375657 500876 626095 751314 1252190 1502628 1878285 2504380 3756570 4633103 7513140 9266206 13899309 18532412 18657631 23165515 27798618 37315262 46331030 55597236 55972893 69496545 74630524 92662060 93288155 111945786 138993090 186576310 223891572 277986180 279864465 373152620 559728930 690332347 1119457860 1380664694 2070997041 2761329388 3451661735 4141994082 6903323470 8283988164 10354985205 13806646940 20709970410 41419940820