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3142244196 = 22327133130941
BaseRepresentation
bin1011101101001010…
…1101011101100100
322002222200112200200
42323102231131210
522413403303241
61235445110500
7140603430540
oct27322553544
98088615620
103142244196
111372795633
127383b8430
133b0cc91c0
1421b472a20
15135ce04b6
hexbb4ad764

3142244196 has 144 divisors (see below), whose sum is σ = 10091547648. Its totient is φ = 801964800.

The previous prime is 3142244137. The next prime is 3142244251. The reversal of 3142244196 is 6914422413.

3142244196 is a `hidden beast` number, since 3 + 1 + 422 + 44 + 196 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3142244196.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86086 + ... + 117026.

It is an arithmetic number, because the mean of its divisors is an integer number (70080192).

Almost surely, 23142244196 is an apocalyptic number.

3142244196 is a gapful number since it is divisible by the number (36) 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 3142244196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045773824).

3142244196 is an abundant number, since it is smaller than the sum of its proper divisors (6949303452).

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

3142244196 is a wasteful number, since it uses less digits than its factorization.

3142244196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31002 (or 30997 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3142244196 is about 56055.7240252947. The cubic root of 3142244196 is about 1464.6931289671.

The spelling of 3142244196 in words is "three billion, one hundred forty-two million, two hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 30941 33852 50778 61882 92823 101556 123764 185646 216587 278469 371292 402233 433174 556938 649761 804466 866348 959171 1113876 1206699 1299522 1608932 1918342 1949283 2413398 2599044 2815631 2877513 3620097 3836684 3898566 4826796 5631262 5755026 6714197 7240194 7797132 8446893 8632539 11262524 11510052 12469223 13428394 14480388 16893786 17265078 20142591 24938446 25340679 26856788 33787572 34530156 37407669 40285182 49876892 50681358 60427773 74815338 80570364 87284561 101362716 112223007 120855546 149630676 174569122 224446014 241711092 261853683 349138244 448892028 523707366 785561049 1047414732 1571122098 3142244196