Search a number
-
+
40925957436 = 223271343290527
BaseRepresentation
bin100110000111011000…
…001000110100111100
310220122012102001022100
4212013120020310330
51132304021114221
630445013145100
72646116620110
oct460730106474
9126565361270
1040925957436
11163a16aa621
127b2202b190
133b22b66b80
141da3563740
1510e7e3e926
hex987608d3c

40925957436 has 144 divisors (see below), whose sum is σ = 130286700544. Its totient is φ = 10542607488.

The previous prime is 40925957431. The next prime is 40925957441. The reversal of 40925957436 is 63475952904.

40925957436 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 595 + 7 + 43 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40925957431) and next prime (40925957441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40925957431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4396 + ... + 286131.

Almost surely, 240925957436 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 40925957436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65143350272).

40925957436 is an abundant number, since it is smaller than the sum of its proper divisors (89360743108).

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

40925957436 is a wasteful number, since it uses less digits than its factorization.

40925957436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290600 (or 290595 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 40925957436 in words is "forty billion, nine hundred twenty-five million, nine hundred fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 43 52 63 78 84 86 91 117 126 129 156 172 182 234 252 258 273 301 364 387 468 516 546 559 602 774 819 903 1092 1118 1204 1548 1638 1677 1806 2236 2709 3276 3354 3612 3913 5031 5418 6708 7826 10062 10836 11739 15652 20124 23478 35217 46956 70434 140868 290527 581054 871581 1162108 1743162 2033689 2614743 3486324 3776851 4067378 5229486 6101067 7553702 8134756 10458972 11330553 12202134 12492661 15107404 18303201 22661106 24404268 24985322 26437957 33991659 36606402 37477983 45322212 49970644 52875914 67983318 73212804 74955966 79313871 87448627 105751828 112433949 135966636 149911932 158627742 162404593 174897254 224867898 237941613 262345881 317255484 324809186 349794508 449735796 475883226 487213779 524691762 649618372 787037643 951766452 974427558 1049383524 1136832151 1461641337 1574075286 1948855116 2273664302 2923282674 3148150572 3410496453 4547328604 5846565348 6820992906 10231489359 13641985812 20462978718 40925957436