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41396091602304 = 273478292766787
BaseRepresentation
bin10010110100110010001110…
…10101011100010110000000
312102120102112210120122002010
421122121013111130112000
520411213143422233204
6224013034004252520
711501524511625225
oct1132310725342600
9172512483518063
1041396091602304
111220aa9057431a
124786a0b3a1140
131a1383354327a
14a3181d9b794c
154bbc19b9cd89
hex25a64755c580

41396091602304 has 128 divisors (see below), whose sum is σ = 112433410598400. Its totient is φ = 13488812181504.

The previous prime is 41396091602303. The next prime is 41396091602353. The reversal of 41396091602304 is 40320619069314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41396091602303) 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, 13578399 + ... + 16345185.

It is an arithmetic number, because the mean of its divisors is an integer number (878386020300).

Almost surely, 241396091602304 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 41396091602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216705299200).

41396091602304 is an abundant number, since it is smaller than the sum of its proper divisors (71037318996096).

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

41396091602304 is a wasteful number, since it uses less digits than its factorization.

41396091602304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767680 (or 2767668 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 41396091602304 in words is "forty-one trillion, three hundred ninety-six billion, ninety-one million, six hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 829 1128 1504 1658 2256 2487 3008 3316 4512 4974 6016 6632 9024 9948 13264 18048 19896 26528 38963 39792 53056 77926 79584 106112 116889 155852 159168 233778 311704 318336 467556 623408 935112 1246816 1870224 2493632 2766787 3740448 4987264 5533574 7480896 8300361 11067148 14961792 16600722 22134296 33201444 44268592 66402888 88537184 130038989 132805776 177074368 260077978 265611552 354148736 390116967 520155956 531223104 780233934 1040311912 1062446208 1560467868 2080623824 2293666423 3120935736 4161247648 4587332846 6241871472 6880999269 8322495296 9174665692 12483742944 13761998538 16644990592 18349331384 24967485888 27523997076 36698662768 49934971776 55047994152 73397325536 107802321881 110095988304 146794651072 215604643762 220191976608 293589302144 323406965643 431209287524 440383953216 646813931286 862418575048 880767906432 1293627862572 1724837150096 2587255725144 3449674300192 5174511450288 6899348600384 10349022900576 13798697200768 20698045801152 41396091602304