Search a number
-
+
4041054160 = 2451113379547
BaseRepresentation
bin1111000011011101…
…1001011111010000
3101102121221211011121
43300313121133100
531234002213120
61504553452024
7202066252003
oct36067313720
911377854147
104041054160
111794084890
12949411014
134c5297010
142a499d53a
15189b845aa
hexf0dd97d0

4041054160 has 160 divisors (see below), whose sum is σ = 11337524352. Its totient is φ = 1319639040.

The previous prime is 4041054151. The next prime is 4041054203. The reversal of 4041054160 is 614501404.

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, 418507 + ... + 428053.

Almost surely, 24041054160 is an apocalyptic number.

4041054160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668762176).

4041054160 is an abundant number, since it is smaller than the sum of its proper divisors (7296470192).

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

4041054160 is a wasteful number, since it uses less digits than its factorization.

4041054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4041054160 is about 63569.2862945621. The cubic root of 4041054160 is about 1592.8133622284.

Adding to 4041054160 its reverse (614501404), we get a palindrome (4655555564).

The spelling of 4041054160 in words is "four billion, forty-one million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1144 1430 1480 1628 1924 2035 2288 2405 2860 2960 3256 3848 4070 4810 5291 5720 6512 7696 8140 9547 9620 10582 11440 16280 19094 19240 21164 26455 32560 38188 38480 42328 47735 52910 76376 84656 95470 105017 105820 124111 152752 190940 210034 211640 248222 353239 381880 420068 423280 496444 525085 620555 706478 763760 840136 992888 1050170 1241110 1365221 1412956 1680272 1766195 1985776 2100340 2482220 2730442 2825912 3532390 3885629 4200680 4592107 4964440 5460884 5651824 6826105 7064780 7771258 8401360 9184214 9928880 10921768 13652210 14129560 15542516 18368428 19428145 21843536 22960535 27304420 28259120 31085032 36736856 38856290 45921070 50513177 54608840 62170064 73473712 77712580 91842140 101026354 109217680 155425160 183684280 202052708 252565885 310850320 367368560 404105416 505131770 808210832 1010263540 2020527080 4041054160