Search a number
-
+
155141433103360 = 2105112250421993
BaseRepresentation
bin100011010001100110101110…
…000000101001010000000000
3202100022101011012220222211011
4203101212232000221100000
5130313314123333301420
61305542553534530304
744451412224102664
oct4321465600512000
9670271135828734
10155141433103360
1145484126504700
1215497548066994
136874a0b391302
142a44c5787c8a4
1512e08b85a595a
hex8d19ae029400

155141433103360 has 132 divisors (see below), whose sum is σ = 409065829730964. Its totient is φ = 56415066357760.

The previous prime is 155141433103253. The next prime is 155141433103387. The reversal of 155141433103360 is 63301334141551.

It can be written as a sum of positive squares in 2 ways, for example, as 109360728474624 + 45780704628736 = 10457568^2 + 6766144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124591477 + ... + 125830516.

Almost surely, 2155141433103360 is an apocalyptic number.

155141433103360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155141433103360 is an abundant number, since it is smaller than the sum of its proper divisors (253924396627604).

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

155141433103360 is a wasteful number, since it uses less digits than its factorization.

155141433103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250422040 (or 250422011 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 155141433103360 in words is "one hundred fifty-five trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1936 2420 2560 2816 3520 3872 4840 5120 5632 7040 7744 9680 11264 14080 15488 19360 28160 30976 38720 56320 61952 77440 123904 154880 309760 619520 250421993 500843986 1001687972 1252109965 2003375944 2504219930 2754641923 4006751888 5008439860 5509283846 8013503776 10016879720 11018567692 13773209615 16027007552 20033759440 22037135384 27546419230 30301061153 32054015104 40067518880 44074270768 55092838460 60602122306 64108030208 80135037760 88148541536 110185676920 121204244612 128216060416 151505305765 160270075520 176297083072 220371353840 242408489224 256432120832 303010611530 320540151040 352594166144 440742707680 484816978448 606021223060 641080302080 705188332288 881485415360 969633956896 1212042446120 1282160604160 1410376664576 1762970830720 1939267913792 2424084892240 2820753329152 3525941661440 3878535827584 4848169784480 7051883322880 7757071655168 9696339568960 14103766645760 15514143310336 19392679137920 31028286620672 38785358275840 77570716551680 155141433103360