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41201201213312 = 277248011368271
BaseRepresentation
bin10010101111000111001101…
…11101100110111110000000
312101212210111112221002011212
421113203212331212332000
520400020030002311222
6223343323123025252
711451455113640300
oct1127434675467600
9171783445832155
1041201201213312
1112145370a76538
12475509ab0b228
1319cb3449acc7a
14a2621236b600
154b6b100d26e2
hex2578e6f66f80

41201201213312 has 96 divisors (see below), whose sum is σ = 95501376563040. Its totient is φ = 17653966848000.

The previous prime is 41201201213261. The next prime is 41201201213321. The reversal of 41201201213312 is 21331210210214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29427737 + ... + 30796007.

It is an arithmetic number, because the mean of its divisors is an integer number (994806005865).

Almost surely, 241201201213312 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 41201201213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750688281520).

41201201213312 is an abundant number, since it is smaller than the sum of its proper divisors (54300175349728).

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

41201201213312 is a wasteful number, since it uses less digits than its factorization.

41201201213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373100 (or 1373081 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 41201201213312 its reverse (21331210210214), we get a palindrome (62532411423526).

The spelling of 41201201213312 in words is "forty-one trillion, two hundred one billion, two hundred one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4801 6272 9602 19204 33607 38408 67214 76816 134428 153632 235249 268856 307264 470498 537712 614528 940996 1075424 1368271 1881992 2150848 2736542 3763984 4301696 5473084 7527968 9577897 10946168 15055936 19155794 21892336 30111872 38311588 43784672 67045279 76623176 87569344 134090558 153246352 175138688 268181116 306492704 536362232 612985408 1072724464 1225970816 2145448928 4290897856 6569069071 8581795712 13138138142 26276276284 45983483497 52552552568 91966966994 105105105136 183933933988 210210210272 321884384479 367867867976 420420420544 643768768958 735735735952 840840841088 1287537537916 1471471471904 2575075075832 2942942943808 5150150151664 5885885887616 10300300303328 20600600606656 41201201213312