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3140153172 = 22321321035011
BaseRepresentation
bin1011101100101010…
…1110111101010100
322002211202022100100
42323022232331110
522412334400142
61235332214100
7140546601342
oct27312567524
98084668310
103140153172
111371597612
1273776a330
133b0746500
1421b08a992
15135a2ab4c
hexbb2aef54

3140153172 has 108 divisors (see below), whose sum is σ = 8680342944. Its totient is φ = 956629440.

The previous prime is 3140153171. The next prime is 3140153179. The reversal of 3140153172 is 2713510413.

It is a super-3 number, since 3×31401531723 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140153171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 624147 + ... + 629157.

Almost surely, 23140153172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140153172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340171472).

3140153172 is an abundant number, since it is smaller than the sum of its proper divisors (5540189772).

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

3140153172 is a wasteful number, since it uses less digits than its factorization.

3140153172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3140153172 is about 56037.0696235983. The cubic root of 3140153172 is about 1464.3681607904.

Adding to 3140153172 its reverse (2713510413), we get a palindrome (5853663585).

The spelling of 3140153172 in words is "three billion, one hundred forty million, one hundred fifty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 169 206 234 309 338 412 468 507 618 676 927 1014 1236 1339 1521 1854 2028 2678 3042 3708 4017 5011 5356 6084 8034 10022 12051 15033 16068 17407 20044 24102 30066 34814 45099 48204 52221 60132 65143 69628 90198 104442 130286 156663 180396 195429 208884 260572 313326 390858 516133 586287 626652 781716 846859 1032266 1172574 1548399 1693718 2064532 2345148 2540577 3096798 3387436 4645197 5081154 6193596 6709729 7621731 9290394 10162308 13419458 15243462 18580788 20129187 26838916 30486924 40258374 60387561 80516748 87226477 120775122 174452954 241550244 261679431 348905908 523358862 785038293 1046717724 1570076586 3140153172