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41204142340000 = 25546733061229
BaseRepresentation
bin10010101111001100101100…
…10001000111011110100000
312101220002002112011210111221
421113212112101013132200
520400042040414340000
6223344531025344424
711451621026050543
oct1127462621073640
9171802075153457
1041204142340000
1112146640185552
12475577ba98114
1319cb6c3120313
14a26410c0a85a
154b6c333e761a
hex2579964477a0

41204142340000 has 120 divisors (see below), whose sum is σ = 101519025591060. Its totient is φ = 16457161728000.

The previous prime is 41204142339989. The next prime is 41204142340001. The reversal of 41204142340000 is 4324140214.

It can be written as a sum of positive squares in 10 ways, for example, as 7972468485136 + 33231673854864 = 2823556^2 + 5764692^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41204142340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11929386 + ... + 14990614.

Almost surely, 241204142340000 is an apocalyptic number.

41204142340000 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 41204142340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50759512795530).

41204142340000 is an abundant number, since it is smaller than the sum of its proper divisors (60314883251060).

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

41204142340000 is an equidigital number, since it uses as much as digits as its factorization.

41204142340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061932 (or 3061909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 41204142340000 its reverse (4324140214), we get a palindrome (41208466480214).

The spelling of 41204142340000 in words is "forty-one trillion, two hundred four billion, one hundred forty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 673 800 1000 1250 1346 2000 2500 2692 3365 4000 5000 5384 6730 10000 10768 13460 16825 20000 21536 26920 33650 53840 67300 84125 107680 134600 168250 269200 336500 420625 538400 673000 841250 1346000 1682500 2692000 3061229 3365000 6122458 6730000 12244916 13460000 15306145 24489832 30612290 48979664 61224580 76530725 97959328 122449160 153061450 244898320 306122900 382653625 489796640 612245800 765307250 1224491600 1530614500 1913268125 2060207117 2448983200 3061229000 3826536250 4120414234 6122458000 7653072500 8240828468 10301035585 12244916000 15306145000 16481656936 20602071170 30612290000 32963313872 41204142340 51505177925 61224580000 65926627744 82408284680 103010355850 164816569360 206020711700 257525889625 329633138720 412041423400 515051779250 824082846800 1030103558500 1287629448125 1648165693600 2060207117000 2575258896250 4120414234000 5150517792500 8240828468000 10301035585000 20602071170000 41204142340000