Search a number
-
+
198138502140 = 223510627310747
BaseRepresentation
bin1011100010000111111…
…0011001101111111100
3200221102121112210111020
42320201332121233330
511221241424032030
6231005031424140
720213025323355
oct2704176315774
9627377483436
10198138502140
1177037023317
1232498225050
13158b8779457
149838b9ad2c
155249d1e510
hex2e21f99bfc

198138502140 has 48 divisors (see below), whose sum is σ = 554841796992. Its totient is φ = 52831791936.

The previous prime is 198138502139. The next prime is 198138502141. The reversal of 198138502140 is 41205831891.

It is an interprime number because it is at equal distance from previous prime (198138502139) and next prime (198138502141).

It is a super-3 number, since 3×1981385021403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198138502092 and 198138502101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198138502141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482247 + ... + 792993.

It is an arithmetic number, because the mean of its divisors is an integer number (11559204104).

Almost surely, 2198138502140 is an apocalyptic number.

198138502140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198138502140 is an abundant number, since it is smaller than the sum of its proper divisors (356703294852).

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

198138502140 is a wasteful number, since it uses less digits than its factorization.

198138502140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321386 (or 321384 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 198138502140 in words is "one hundred ninety-eight billion, one hundred thirty-eight million, five hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10627 21254 31881 42508 53135 63762 106270 127524 159405 212540 310747 318810 621494 637620 932241 1242988 1553735 1864482 3107470 3728964 4661205 6214940 9322410 18644820 3302308369 6604616738 9906925107 13209233476 16511541845 19813850214 33023083690 39627700428 49534625535 66046167380 99069251070 198138502140