Search a number
-
+
401522245140 = 223529439525649
BaseRepresentation
bin1011101011111001001…
…01110011111000010100
31102101101202221102202110
411311330211303320110
523034304143321030
6504242355111020
741003044525332
oct5657445637024
91371352842673
10401522245140
11145314926735
1265998ba2470
132bb2bb1b903
1415610416b52
15a6a03891b0
hex5d7c973e14

401522245140 has 96 divisors (see below), whose sum is σ = 1165681440000. Its totient is φ = 103144753152.

The previous prime is 401522245139. The next prime is 401522245151. The reversal of 401522245140 is 41542225104.

It is a super-2 number, since 2×4015222451402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401522245098 and 401522245107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501036 + ... + 1026684.

It is an arithmetic number, because the mean of its divisors is an integer number (12142515000).

Almost surely, 2401522245140 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 401522245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582840720000).

401522245140 is an abundant number, since it is smaller than the sum of its proper divisors (764159194860).

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

401522245140 is a wasteful number, since it uses less digits than its factorization.

401522245140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526129 (or 526127 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 401522245140 in words is "four hundred one billion, five hundred twenty-two million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 439 580 870 878 1317 1740 1756 2195 2634 4390 5268 6585 8780 12731 13170 25462 26340 38193 50924 63655 76386 127310 152772 190965 254620 381930 525649 763860 1051298 1576947 2102596 2628245 3153894 5256490 6307788 7884735 10512980 15243821 15769470 30487642 31538940 45731463 60975284 76219105 91462926 152438210 182925852 228657315 230759911 304876420 457314630 461519822 692279733 914629260 923039644 1153799555 1384559466 2307599110 2769118932 3461398665 4615198220 6692037419 6922797330 13384074838 13845594660 20076112257 26768149676 33460187095 40152224514 66920374190 80304449028 100380561285 133840748380 200761122570 401522245140