Search a number
-
+
3144526346360 = 2357471671430813
BaseRepresentation
bin101101110000100100011…
…000000011100001111000
3102010121120110002101010002
4231300210120003201320
5403004442221040420
610404324144412132
7443120202634340
oct55604430034170
912117513071102
103144526346360
11100264a165933
1242951b617048
1319a6b2091649
14ac2a572bd20
1556be2a0a075
hex2dc24603878

3144526346360 has 128 divisors (see below), whose sum is σ = 8307420549120. Its totient is φ = 1048865321472.

The previous prime is 3144526346347. The next prime is 3144526346363. The reversal of 3144526346360 is 636436254413.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144526346363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482314 + ... + 2913126.

It is an arithmetic number, because the mean of its divisors is an integer number (64901723040).

Almost surely, 23144526346360 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 3144526346360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153710274560).

3144526346360 is an abundant number, since it is smaller than the sum of its proper divisors (5162894202760).

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

3144526346360 is a wasteful number, since it uses less digits than its factorization.

3144526346360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431045 (or 1431041 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 3144526346360 in words is "three trillion, one hundred forty-four billion, five hundred twenty-six million, three hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 167 188 235 280 329 334 376 470 658 668 835 940 1169 1316 1336 1645 1670 1880 2338 2632 3290 3340 4676 5845 6580 6680 7849 9352 11690 13160 15698 23380 31396 39245 46760 54943 62792 78490 109886 156980 219772 274715 313960 439544 549430 1098860 1430813 2197720 2861626 5723252 7154065 10015691 11446504 14308130 20031382 28616260 40062764 50078455 57232520 67248211 80125528 100156910 134496422 200313820 238945771 268992844 336241055 400627640 470737477 477891542 537985688 672482110 941474954 955783084 1194728855 1344964220 1672620397 1882949908 1911566168 2353687385 2389457710 2689928440 3345240794 3765899816 4707374770 4778915420 6690481588 8363101985 9414749540 9557830840 11230451237 13380963176 16726203970 18829499080 22460902474 33452407940 44921804948 56152256185 66904815880 78613158659 89843609896 112304512370 157226317318 224609024740 314452634636 393065793295 449218049480 628905269272 786131586590 1572263173180 3144526346360