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41323014120 = 23351983218363
BaseRepresentation
bin100110011111000010…
…110010011111101000
310221122212112121200110
4212133002302133220
51134112142422440
630552235334320
72662010552553
oct463702623750
9127585477613
1041323014120
1116585845143
128012bb13a0
133b871b785b
14200019d69a
15111cc21080
hex99f0b27e8

41323014120 has 128 divisors (see below), whose sum is σ = 132066547200. Its totient is φ = 10313673984.

The previous prime is 41323014119. The next prime is 41323014127. The reversal of 41323014120 is 2141032314.

It is not an unprimeable number, because it can be changed into a prime (41323014127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80059 + ... + 298421.

It is an arithmetic number, because the mean of its divisors is an integer number (1031769900).

Almost surely, 241323014120 is an apocalyptic number.

41323014120 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 41323014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66033273600).

41323014120 is an abundant number, since it is smaller than the sum of its proper divisors (90743533080).

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

41323014120 is a wasteful number, since it uses less digits than its factorization.

41323014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218479 (or 218475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41323014120 its reverse (2141032314), we get a palindrome (43464046434).

It can be divided in two parts, 413230 and 14120, that added together give a triangular number (427350 = T924).

The spelling of 41323014120 in words is "forty-one billion, three hundred twenty-three million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 83 95 114 120 152 166 190 228 249 285 332 380 415 456 498 570 664 760 830 996 1140 1245 1577 1660 1992 2280 2490 3154 3320 4731 4980 6308 7885 9462 9960 12616 15770 18924 23655 31540 37848 47310 63080 94620 189240 218363 436726 655089 873452 1091815 1310178 1746904 2183630 2620356 3275445 4148897 4367260 5240712 6550890 8297794 8734520 12446691 13101780 16595588 18124129 20744485 24893382 26203560 33191176 36248258 41488970 49786764 54372387 62233455 72496516 82977940 90620645 99573528 108744774 124466910 144993032 165955880 181241290 217489548 248933820 271861935 344358451 362482580 434979096 497867640 543723870 688716902 724965160 1033075353 1087447740 1377433804 1721792255 2066150706 2174895480 2754867608 3443584510 4132301412 5165376765 6887169020 8264602824 10330753530 13774338040 20661507060 41323014120