Search a number
-
+
41132213301120 = 273567319746683
BaseRepresentation
bin10010101101000110101101…
…11101100110111110000000
312101122012102200000000202220
421112203112331212332000
520342402233101113440
6223251513344411040
711443463406235044
oct1126432675467600
9171565380000686
1041132213301120
111211908a103a77
124743847016a80
1319c499c145756
14a22b49d2c024
154b4e2378e8d0
hex2568d6f66f80

41132213301120 has 128 divisors (see below), whose sum is σ = 133065780013440. Its totient is φ = 10804879878144.

The previous prime is 41132213301097. The next prime is 41132213301133. The reversal of 41132213301120 is 2110331223114.

41132213301120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159744702 + ... + 160001981.

It is an arithmetic number, because the mean of its divisors is an integer number (1039576406355).

Almost surely, 241132213301120 is an apocalyptic number.

41132213301120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41132213301120 is an abundant number, since it is smaller than the sum of its proper divisors (91933566712320).

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

41132213301120 is a wasteful number, since it uses less digits than its factorization.

41132213301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319746772 (or 319746760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 41132213301120 its reverse (2110331223114), we get a palindrome (43242544524234).

The spelling of 41132213301120 in words is "forty-one trillion, one hundred thirty-two billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 10720 12864 16080 21440 25728 32160 42880 64320 128640 319746683 639493366 959240049 1278986732 1598733415 1918480098 2557973464 3197466830 3836960196 4796200245 5115946928 6394933660 7673920392 9592400490 10231893856 12789867320 15347840784 19184800980 20463787712 21423027761 25579734640 30695681568 38369601960 40927575424 42846055522 51159469280 61391363136 64269083283 76739203920 85692111044 102318938560 107115138805 122782726272 128538166566 153478407840 171384222088 204637877120 214230277610 257076333132 306956815680 321345416415 342768444176 428460555220 514152666264 613913631360 642690832830 685536888352 856921110440 1028305332528 1285381665660 1371073776704 1713842220880 2056610665056 2570763331320 2742147553408 3427684441760 4113221330112 5141526662640 6855368883520 8226442660224 10283053325280 13710737767040 20566106650560 41132213301120