Search a number
-
+
374071144140 = 22335692724341
BaseRepresentation
bin1010111000110000110…
…00001010111011001100
31022202112122212000111000
411130120120022323030
522112044203103030
6443502414500300
736011555156031
oct5343030127314
91282478760430
10374071144140
11134708455201
12605b7804690
1329375847195
141416870b388
159ae53e9860
hex571860aecc

374071144140 has 48 divisors (see below), whose sum is σ = 1163776894560. Its totient is φ = 99752304960.

The previous prime is 374071144103. The next prime is 374071144199. The reversal of 374071144140 is 41441170473.

374071144140 is a `hidden beast` number, since 374 + 0 + 7 + 1 + 144 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 374071144095 and 374071144104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346361631 + ... + 346362710.

It is an arithmetic number, because the mean of its divisors is an integer number (24245351970).

Almost surely, 2374071144140 is an apocalyptic number.

374071144140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

374071144140 is an abundant number, since it is smaller than the sum of its proper divisors (789705750420).

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

374071144140 is a wasteful number, since it uses less digits than its factorization.

374071144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692724359 (or 692724351 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 374071144140 in words is "three hundred seventy-four billion, seventy-one million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 692724341 1385448682 2078173023 2770897364 3463621705 4156346046 6234519069 6927243410 8312692092 10390865115 12469038138 13854486820 18703557207 20781730230 24938076276 31172595345 37407114414 41563460460 62345190690 74814228828 93517786035 124690381380 187035572070 374071144140