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41002110030440 = 235131719492379809
BaseRepresentation
bin10010101001010100011000…
…01101000001001001101000
312101011202121112202002102002
421110222030031001021220
520333234310131433230
6223112035340030132
711431206336544016
oct1124521415011150
9171152545662362
1041002110030440
111207899620a079
124722597832348
1319b5636a53810
14a1a726c5d8b6
154b185b82c545
hex254a8c341268

41002110030440 has 128 divisors (see below), whose sum is σ = 105249477060000. Its totient is φ = 14241380302848.

The previous prime is 41002110030397. The next prime is 41002110030449. The reversal of 41002110030440 is 4403001120014.

It can be written as a sum of positive squares in 16 ways, for example, as 3516442547524 + 37485667482916 = 1875218^2 + 6122554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41002110030449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16039256 + ... + 18419064.

Almost surely, 241002110030440 is an apocalyptic number.

41002110030440 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 41002110030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52624738530000).

41002110030440 is an abundant number, since it is smaller than the sum of its proper divisors (64247367029560).

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

41002110030440 is a wasteful number, since it uses less digits than its factorization.

41002110030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381799 (or 2381795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41002110030440 its reverse (4403001120014), we get a palindrome (45405111150454).

The spelling of 41002110030440 in words is "forty-one trillion, two billion, one hundred ten million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 1949 2210 3898 4420 7796 8840 9745 15592 19490 25337 33133 38980 50674 66266 77960 101348 126685 132532 165665 202696 253370 265064 331330 430729 506740 662660 861458 1013480 1325320 1722916 2153645 2379809 3445832 4307290 4759618 8614580 9519236 11899045 17229160 19038472 23798090 30937517 40456753 47596180 61875034 80913506 95192360 123750068 154687585 161827012 202283765 247500136 309375170 323654024 404567530 525937789 618750340 809135060 1051875578 1237500680 1618270120 2103751156 2629688945 4207502312 4638247741 5259377890 9276495482 10518755780 18552990964 21037511560 23191238705 37105981928 46382477410 60297220633 78850211597 92764954820 120594441266 157700423194 185529909640 241188882532 301486103165 315400846388 394251057985 482377765064 602972206330 630801692776 788502115970 1025052750761 1205944412660 1577004231940 2050105501522 2411888825320 3154008463880 4100211003044 5125263753805 8200422006088 10250527507610 20501055015220 41002110030440