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3149444144 = 24711337571
BaseRepresentation
bin1011101110111000…
…1011010000110000
322010111020100011102
42323232023100300
522422224203034
61240303303532
7141021555620
oct27356132060
98114210142
103149444144
111376863000
1273a8aaba8
133b264a422
1421c3c8880
1513676397e
hexbbb8b430

3149444144 has 160 divisors (see below), whose sum is σ = 7891732992. Its totient is φ = 1191801600.

The previous prime is 3149444113. The next prime is 3149444159. The reversal of 3149444144 is 4414449413.

It is a happy number.

3149444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3149444098 and 3149444107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5515379 + ... + 5515949.

Almost surely, 23149444144 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 3149444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945866496).

3149444144 is an abundant number, since it is smaller than the sum of its proper divisors (4742288848).

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

3149444144 is a wasteful number, since it uses less digits than its factorization.

3149444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 628 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 3149444144 is about 56119.9086243019. The cubic root of 3149444144 is about 1465.8109786462.

The spelling of 3149444144 in words is "three billion, one hundred forty-nine million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 121 148 154 176 242 259 296 308 407 484 518 571 592 616 814 847 968 1036 1142 1232 1331 1628 1694 1936 2072 2284 2662 2849 3256 3388 3997 4144 4477 4568 5324 5698 6281 6512 6776 7994 8954 9136 9317 10648 11396 12562 13552 15988 17908 18634 21127 21296 22792 25124 31339 31976 35816 37268 42254 43967 45584 49247 50248 62678 63952 69091 71632 74536 84508 87934 98494 100496 125356 138182 147889 149072 169016 175868 196988 232397 250712 276364 295778 338032 344729 351736 393976 464794 483637 501424 552728 591556 689458 703472 760001 787952 929588 967274 1105456 1183112 1378916 1520002 1626779 1859176 1934548 2366224 2556367 2757832 3040004 3253558 3718352 3869096 5112734 5320007 5515664 6080008 6507116 7738192 10225468 10640014 12160016 13014232 17894569 20450936 21280028 26028464 28120037 35789138 40901872 42560056 56240074 71578276 85120112 112480148 143156552 196840259 224960296 286313104 393680518 449920592 787361036 1574722072 3149444144