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41322334140 = 22335491155851
BaseRepresentation
bin100110011111000000…
…001100011110111100
310221122211021001221000
4212133000030132330
51134112004143030
630552213010300
72662002021243
oct463700143674
9127584231830
1041322334140
111658542027a
128012923990
133b8700a1b9
14200006395a
15111cb39860
hex99f00c7bc

41322334140 has 96 divisors (see below), whose sum is σ = 128821029120. Its totient is φ = 10996776000.

The previous prime is 41322334139. The next prime is 41322334171. The reversal of 41322334140 is 4143322314.

41322334140 is a `hidden beast` number, since 4 + 1 + 322 + 334 + 1 + 4 + 0 = 666.

41322334140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 187215 + ... + 343065.

It is an arithmetic number, because the mean of its divisors is an integer number (1341885720).

Almost surely, 241322334140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41322334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64410514560).

41322334140 is an abundant number, since it is smaller than the sum of its proper divisors (87498694980).

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

41322334140 is a wasteful number, since it uses less digits than its factorization.

41322334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156360 (or 156352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41322334140 its reverse (4143322314), we get a palindrome (45465656454).

The spelling of 41322334140 in words is "forty-one billion, three hundred twenty-two million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 491 540 982 1473 1964 2455 2946 4419 4910 5892 7365 8838 9820 13257 14730 17676 22095 26514 29460 44190 53028 66285 88380 132570 155851 265140 311702 467553 623404 779255 935106 1402659 1558510 1870212 2337765 2805318 3117020 4207977 4675530 5610636 7013295 8415954 9351060 14026590 16831908 21039885 28053180 42079770 76522841 84159540 153045682 229568523 306091364 382614205 459137046 688705569 765228410 918274092 1147842615 1377411138 1530456820 2066116707 2295685230 2754822276 3443527845 4132233414 4591370460 6887055690 8264466828 10330583535 13774111380 20661167070 41322334140