Search a number
-
+
409386148940 = 225232110335081
BaseRepresentation
bin1011111010100010101…
…00001110010001001100
31110010200211021010202202
411331101110032101030
523201410323231230
6512022553541032
741401653564506
oct5752124162114
91403624233682
10409386148940
1114868a898a8a
1267412714778
132c7b30c0522
1415b589b4d76
15a9b094ea45
hex5f5150e44c

409386148940 has 72 divisors (see below), whose sum is σ = 899555243328. Its totient is φ = 156488231680.

The previous prime is 409386148939. The next prime is 409386148967. The reversal of 409386148940 is 49841683904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11652200 + ... + 11687280.

It is an arithmetic number, because the mean of its divisors is an integer number (12493822824).

Almost surely, 2409386148940 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 409386148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449777621664).

409386148940 is an abundant number, since it is smaller than the sum of its proper divisors (490169094388).

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

409386148940 is a wasteful number, since it uses less digits than its factorization.

409386148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36239 (or 36214 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 409386148940 in words is "four hundred nine billion, three hundred eighty-six million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 1103 2116 2206 2645 4412 5290 5515 10580 11030 22060 25369 35081 50738 70162 101476 126845 140324 175405 253690 350810 507380 583487 701620 806863 1166974 1613726 2333948 2917435 3227452 4034315 5834870 8068630 11669740 16137260 18557849 37115698 38694343 74231396 77388686 92789245 154777372 185578490 193471715 371156980 386943430 773886860 889969889 1779939778 3559879556 4449849445 8899698890 17799397780 20469307447 40938614894 81877229788 102346537235 204693074470 409386148940