Search a number
-
+
41102332440 = 23351389296041
BaseRepresentation
bin100110010001111000…
…111101001000011000
310221002111021211022220
4212101320331020120
51133134144114230
630514313344040
72653361030001
oct462170751030
9127074254286
1041102332440
1116482216794
127b71108020
133b5056ba90
141dbcb561a8
15110867dd10
hex991e3d218

41102332440 has 128 divisors (see below), whose sum is σ = 134284651200. Its totient is φ = 10003783680.

The previous prime is 41102332379. The next prime is 41102332441. The reversal of 41102332440 is 4423320114.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41102332440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41102332441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9181 + ... + 286860.

Almost surely, 241102332440 is an apocalyptic number.

41102332440 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 41102332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67142325600).

41102332440 is an abundant number, since it is smaller than the sum of its proper divisors (93182318760).

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

41102332440 is a wasteful number, since it uses less digits than its factorization.

41102332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296157 (or 296153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41102332440 its reverse (4423320114), we get a palindrome (45525652554).

The spelling of 41102332440 in words is "forty-one billion, one hundred two million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 89 104 120 130 156 178 195 260 267 312 356 390 445 520 534 712 780 890 1068 1157 1335 1560 1780 2136 2314 2670 3471 3560 4628 5340 5785 6942 9256 10680 11570 13884 17355 23140 27768 34710 46280 69420 138840 296041 592082 888123 1184164 1480205 1776246 2368328 2960410 3552492 3848533 4440615 5920820 7104984 7697066 8881230 11545599 11841640 15394132 17762460 19242665 23091198 26347649 30788264 35524920 38485330 46182396 52695298 57727995 76970660 79042947 92364792 105390596 115455990 131738245 153941320 158085894 210781192 230911980 263476490 316171788 342519437 395214735 461823960 526952980 632343576 685038874 790429470 1027558311 1053905960 1370077748 1580858940 1712597185 2055116622 2740155496 3161717880 3425194370 4110233244 5137791555 6850388740 8220466488 10275583110 13700777480 20551166220 41102332440