Search a number
-
+
1146031818780 = 223537241340297
BaseRepresentation
bin10000101011010100110…
…100011100100000011100
311001120002221001110001210
4100223110310130200130
5122234033121200110
62234251343104420
7145540510505562
oct20532464344034
94046087043053
101146031818780
114020360a2832
121661378a2110
13840bb6b7374
143d67aba7a32
151ec26ca8520
hex10ad4d1c81c

1146031818780 has 144 divisors (see below), whose sum is σ = 3378407762016. Its totient is φ = 290095534080.

The previous prime is 1146031818751. The next prime is 1146031818829. The reversal of 1146031818780 is 878181306411.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3197592 + ... + 3537888.

It is an arithmetic number, because the mean of its divisors is an integer number (23461165014).

Almost surely, 21146031818780 is an apocalyptic number.

1146031818780 is a gapful number since it is divisible by the number (10) 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 1146031818780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689203881008).

1146031818780 is an abundant number, since it is smaller than the sum of its proper divisors (2232375943236).

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

1146031818780 is a wasteful number, since it uses less digits than its factorization.

1146031818780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340424 (or 340385 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 1146031818780 in words is "one trillion, one hundred forty-six billion, thirty-one million, eight hundred eighteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1369 1517 2220 2460 2738 3034 4107 4551 5476 6068 6845 7585 8214 9102 13690 15170 16428 18204 20535 22755 27380 30340 41070 45510 56129 82140 91020 112258 168387 224516 280645 336774 340297 561290 673548 680594 841935 1020891 1122580 1361188 1683870 1701485 2041782 3367740 3402970 4083564 5104455 6805940 10208910 12590989 13952177 20417820 25181978 27904354 37772967 41856531 50363956 55808708 62954945 69760885 75545934 83713062 125909890 139521770 151091868 167426124 188864835 209282655 251819780 279043540 377729670 418565310 465866593 516230549 755459340 837130620 931733186 1032461098 1397599779 1548691647 1863466372 2064922196 2329332965 2581152745 2795199558 3097383294 4658665930 5162305490 5590399116 6194766588 6987998895 7743458235 9317331860 10324610980 13975997790 15486916470 19100530313 27951995580 30973832940 38201060626 57301590939 76402121252 95502651565 114603181878 191005303130 229206363756 286507954695 382010606260 573015909390 1146031818780