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41488913488 = 241131139227241
BaseRepresentation
bin100110101000111011…
…101001010001010000
310222002102201011211111
4212220323221101100
51134432130212423
631020523223104
72666063642311
oct465073512120
9128072634744
1041488913488
1116660456860
12805a677a94
133bb2692569
142018226608
15112c59160d
hex9a8ee9450

41488913488 has 160 divisors (see below), whose sum is σ = 91954114560. Its totient is φ = 17964288000.

The previous prime is 41488913483. The next prime is 41488913489. The reversal of 41488913488 is 88431988414.

It is a super-2 number, since 2×414889134882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41488913483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172153048 + ... + 172153288.

It is an arithmetic number, because the mean of its divisors is an integer number (574713216).

Almost surely, 241488913488 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 41488913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45977057280).

41488913488 is an abundant number, since it is smaller than the sum of its proper divisors (50465201072).

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

41488913488 is a wasteful number, since it uses less digits than its factorization.

41488913488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 58.

The spelling of 41488913488 in words is "forty-one billion, four hundred eighty-eight million, nine hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 139 176 227 241 248 278 341 454 482 496 556 682 908 964 1112 1364 1529 1816 1928 2224 2497 2651 2728 3058 3632 3856 4309 4994 5302 5456 6116 7037 7471 8618 9988 10604 12232 14074 14942 17236 19976 21208 24464 28148 29884 31553 33499 34472 39952 42416 47399 54707 56296 59768 63106 66998 68944 77407 82181 94798 109414 112592 119536 126212 133996 154814 164362 189596 218828 252424 267992 309628 328724 347083 368489 379192 437656 504848 535984 601777 619256 657448 694166 736978 758384 875312 978143 1038469 1203554 1238512 1314896 1388332 1473956 1695917 1956286 2076938 2407108 2776664 2947912 3391834 3912572 4153876 4814216 5553328 5895824 6783668 7604273 7825144 8307752 9628432 10759573 11423159 13567336 15208546 15650288 16615504 18655087 21519146 22846318 27134672 30417092 37310174 43038292 45692636 60834184 74620348 83647003 86076584 91385272 121668368 149240696 167294006 172153168 182770544 235732463 298481392 334588012 471464926 669176024 942929852 1338352048 1885859704 2593057093 3771719408 5186114186 10372228372 20744456744 41488913488