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41201455872 = 283109577853
BaseRepresentation
bin100110010111110011…
…000101001100000000
310221100101210211010010
4212113303011030000
51133340033041442
630532214104520
72656003411413
oct462763051400
9127311724103
1041201455872
1116523169685
127b9a34b140
133b67c665b5
141dcbd99b7a
15111220db9c
hex997cc5300

41201455872 has 144 divisors (see below), whose sum is σ = 110983722080. Its totient is φ = 13568311296.

The previous prime is 41201455861. The next prime is 41201455873. The reversal of 41201455872 is 27855410214.

It is a self number, because there is not a number n which added to its sum of digits gives 41201455872.

It is not an unprimeable number, because it can be changed into a prime (41201455873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48301398 + ... + 48302250.

Almost surely, 241201455872 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 41201455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55491861040).

41201455872 is an abundant number, since it is smaller than the sum of its proper divisors (69782266208).

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

41201455872 is a wasteful number, since it uses less digits than its factorization.

41201455872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 41201455872 in words is "forty-one billion, two hundred one million, four hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 577 654 768 853 872 1154 1308 1706 1731 1744 2308 2559 2616 3412 3462 3488 4616 5118 5232 6824 6924 6976 9232 10236 10464 13648 13848 13952 18464 20472 20928 27296 27696 27904 36928 40944 41856 54592 55392 62893 73856 81888 83712 92977 109184 110784 125786 147712 163776 185954 188679 218368 221568 251572 278931 327552 371908 377358 443136 492181 503144 557862 655104 743816 754716 984362 1006288 1115724 1476543 1487632 1509432 1968724 2012576 2231448 2953086 2975264 3018864 3937448 4025152 4462896 5906172 5950528 6037728 7874896 8050304 8925792 11812344 11901056 12075456 15749792 16100608 17851584 23624688 23802112 24150912 31499584 35703168 47249376 48301824 53647729 62999168 71406336 94498752 107295458 125998336 160943187 188997504 214590916 321886374 377995008 429181832 643772748 858363664 1287545496 1716727328 2575090992 3433454656 5150181984 6866909312 10300363968 13733818624 20600727936 41201455872