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41213342040 = 233513151174959
BaseRepresentation
bin100110011000100000…
…011011000101011000
310221101020011200212120
4212120200123011120
51133401103421130
630533320541240
72656206425103
oct463040330530
9127336150776
1041213342040
1116529947962
127ba2321820
133b6a568830
141dcd7b173a
1511132aa910
hex99881b158

41213342040 has 128 divisors (see below), whose sum is σ = 134033356800. Its totient is φ = 10077580800.

The previous prime is 41213342011. The next prime is 41213342069. The reversal of 41213342040 is 4024331214.

It is an interprime number because it is at equal distance from previous prime (41213342011) and next prime (41213342069).

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 41213342040.

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, 148081 + ... + 323039.

It is an arithmetic number, because the mean of its divisors is an integer number (1047135600).

Almost surely, 241213342040 is an apocalyptic number.

41213342040 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 41213342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67016678400).

41213342040 is an abundant number, since it is smaller than the sum of its proper divisors (92820014760).

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

41213342040 is a wasteful number, since it uses less digits than its factorization.

41213342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175137 (or 175133 counting only the distinct ones).

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

Adding to 41213342040 its reverse (4024331214), we get a palindrome (45237673254).

The spelling of 41213342040 in words is "forty-one billion, two hundred thirteen million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 151 156 195 260 302 312 390 453 520 604 755 780 906 1208 1510 1560 1812 1963 2265 3020 3624 3926 4530 5889 6040 7852 9060 9815 11778 15704 18120 19630 23556 29445 39260 47112 58890 78520 117780 174959 235560 349918 524877 699836 874795 1049754 1399672 1749590 2099508 2274467 2624385 3499180 4199016 4548934 5248770 6823401 6998360 9097868 10497540 11372335 13646802 18195736 20995080 22744670 26418809 27293604 34117005 45489340 52837618 54587208 68234010 79256427 90978680 105675236 132094045 136468020 158512854 211350472 264188090 272936040 317025708 343444517 396282135 528376180 634051416 686889034 792564270 1030333551 1056752360 1373778068 1585128540 1717222585 2060667102 2747556136 3170257080 3434445170 4121334204 5151667755 6868890340 8242668408 10303335510 13737780680 20606671020 41213342040