Search a number
-
+
103419973440 = 2632575129959
BaseRepresentation
bin110000001010001001…
…1111000111101000000
3100212221111220222211200
41200110103320331000
53143301003122230
6115302132541200
710320562161360
oct1402423707500
9325844828750
10103419973440
113a950973833
1218063181800
1399a2209874
14501134a9a0
152a545da160
hex18144f8f40

103419973440 has 168 divisors, whose sum is σ = 406539070080. Its totient is φ = 23638846464.

The previous prime is 103419973411. The next prime is 103419973463. The reversal of 103419973440 is 44379914301.

103419973440 is a `hidden beast` number, since 10 + 3 + 4 + 199 + 7 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2544820 + ... + 2585139.

Almost surely, 2103419973440 is an apocalyptic number.

103419973440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103419973440 is an abundant number, since it is smaller than the sum of its proper divisors (303119096640).

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

103419973440 is a wasteful number, since it uses less digits than its factorization.

103419973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129989 (or 5129976 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 103419973440 in words is "one hundred three billion, four hundred nineteen million, nine hundred seventy-three thousand, four hundred forty".