Search a number
-
+
1144344431320 = 2351966114391583
BaseRepresentation
bin10000101001110000001…
…111100100101011011000
311001101202022221021121221
4100221300033210223120
5122222104133300240
62233412104341424
7145450631113606
oct20516017445330
94041668837557
101144344431320
1140134a664642
12165946774874
1383bacc3584c
143d55aa46876
151eb78a96a4a
hex10a703e4ad8

1144344431320 has 128 divisors (see below), whose sum is σ = 2717991936000. Its totient is φ = 432416033280.

The previous prime is 1144344431303. The next prime is 1144344431333. The reversal of 1144344431320 is 231344434411.

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, 722895249 + ... + 722896831.

It is an arithmetic number, because the mean of its divisors is an integer number (21234312000).

Almost surely, 21144344431320 is an apocalyptic number.

1144344431320 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 1144344431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358995968000).

1144344431320 is an abundant number, since it is smaller than the sum of its proper divisors (1573647504680).

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

1144344431320 is a wasteful number, since it uses less digits than its factorization.

1144344431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 1144344431320 its reverse (231344434411), we get a palindrome (1375688865731).

The spelling of 1144344431320 in words is "one trillion, one hundred forty-four billion, three hundred forty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 661 760 1322 1439 1583 2644 2878 3166 3305 5288 5756 6332 6610 7195 7915 11512 12559 12664 13220 14390 15830 25118 26440 27341 28780 30077 31660 50236 54682 57560 60154 62795 63320 100472 109364 120308 125590 136705 150385 218728 240616 251180 273410 300770 502360 546820 601540 951179 1046363 1093640 1203080 1902358 2092726 2277937 3804716 4185452 4555874 4755895 5231815 7609432 8370904 9111748 9511790 10463630 11389685 18072401 18223496 19023580 19880897 20927260 22779370 36144802 38047160 39761794 41854520 43280803 45558740 72289604 79523588 86561606 90362005 91117480 99404485 144579208 159047176 173123212 180724010 198808970 216404015 346246424 361448020 397617940 432808030 722896040 795235880 865616060 1505716357 1731232120 3011432714 6022865428 7528581785 12045730856 15057163570 28608610783 30114327140 57217221566 60228654280 114434443132 143043053915 228868886264 286086107830 572172215660 1144344431320