Search a number
-
+
44121145345020 = 22335411992824993
BaseRepresentation
bin10100000100000110000010…
…01100100000001111111100
312210012221101110221212202000
422002003001030200033330
521240340101202020040
6233500550243302300
712202435053354432
oct1202030114401774
9183187343855660
1044121145345020
1113070744347497
124b46b8237a990
131b807b59468b3
14ac7690d04d52
15517a5b4be130
hex2820c13203fc

44121145345020 has 96 divisors (see below), whose sum is σ = 140613731576640. Its totient is φ = 11478671953920.

The previous prime is 44121145344961. The next prime is 44121145345091. The reversal of 44121145345020 is 2054354112144.

44121145345020 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 1 + 145 + 3 + 4 + 502 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 996390357 + ... + 996434636.

It is an arithmetic number, because the mean of its divisors is an integer number (1464726370590).

Almost surely, 244121145345020 is an apocalyptic number.

It is an amenable number.

44121145345020 is an abundant number, since it is smaller than the sum of its proper divisors (96492586231620).

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

44121145345020 is a wasteful number, since it uses less digits than its factorization.

44121145345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992825052 (or 1992825044 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 44121145345020 its reverse (2054354112144), we get a palindrome (46175499457164).

The spelling of 44121145345020 in words is "forty-four trillion, one hundred twenty-one billion, one hundred forty-five million, three hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 1992824993 3985649986 5978474979 7971299972 9964124965 11956949958 17935424937 19928249930 23913899916 29892374895 35870849874 39856499860 53806274811 59784749790 71741699748 81705824713 89677124685 107612549622 119569499580 163411649426 179354249370 215225099244 245117474139 269031374055 326823298852 358708498740 408529123565 490234948278 538062748110 735352422417 817058247130 980469896556 1076125496220 1225587370695 1470704844834 1634116494260 2206057267251 2451174741390 2941409689668 3676762112085 4412114534502 4902349482780 7353524224170 8824229069004 11030286336255 14707048448340 22060572672510 44121145345020