Search a number
-
+
375400650240 = 293257211193743
BaseRepresentation
bin1010111011001111001…
…11110101011000000000
31022212222022112220222200
411131213213311120000
522122310031301430
6444242350433200
736056530610100
oct5354747653000
91285868486880
10375400650240
1113522a975880
1260908b02800
1329528113395
141425310d200
159b71eb7460
hex57679f5600

375400650240 has 2880 divisors, whose sum is σ = 1825124970240. Its totient is φ = 70230343680.

The previous prime is 375400650217. The next prime is 375400650263. The reversal of 375400650240 is 42056004573.

375400650240 is a `hidden beast` number, since 3 + 7 + 5 + 400 + 6 + 5 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (375400650217) and next prime (375400650263).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3754006502402 (a number of 24 digits) contains 22 as substring.

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 = 375400650195 and 375400650204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8730247659 + ... + 8730247701.

It is an arithmetic number, because the mean of its divisors is an integer number (633723948).

Almost surely, 2375400650240 is an apocalyptic number.

375400650240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375400650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912562485120).

375400650240 is an abundant number, since it is smaller than the sum of its proper divisors (1449724320000).

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

375400650240 is a wasteful number, since it uses less digits than its factorization.

375400650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 375400650240 in words is "three hundred seventy-five billion, four hundred million, six hundred fifty thousand, two hundred forty".