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130441110034240 = 2653141320714767
BaseRepresentation
bin11101101010001010110000…
…000001110001011101000000
3122002212001022020100202222101
4131222022300001301131000
5114044121343132043430
61141231452500520144
736322026210140635
oct3552126001613500
9562761266322871
10130441110034240
1138620845026835
121276843b9b0054
1357a270bc2aa75
14242d55212018c
151013115142dca
hex76a2b0071740

130441110034240 has 112 divisors (see below), whose sum is σ = 328452973922304. Its totient is φ = 49261788057600.

The previous prime is 130441110034229. The next prime is 130441110034243. The reversal of 130441110034240 is 42430011144031.

It is a junction number, because it is equal to n+sod(n) for n = 130441110034199 and 130441110034208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130441110034243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159950664 + ... + 160764103.

It is an arithmetic number, because the mean of its divisors is an integer number (2932615838592).

Almost surely, 2130441110034240 is an apocalyptic number.

130441110034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441110034240 is an abundant number, since it is smaller than the sum of its proper divisors (198011863888064).

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

130441110034240 is a wasteful number, since it uses less digits than its factorization.

130441110034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320714856 (or 320714846 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 130441110034240 its reverse (42430011144031), we get a palindrome (172871121178271).

The spelling of 130441110034240 in words is "one hundred thirty trillion, four hundred forty-one billion, one hundred ten million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 155 160 164 205 248 310 320 328 410 496 620 656 820 992 1240 1271 1312 1640 1984 2480 2542 2624 3280 4960 5084 6355 6560 9920 10168 12710 13120 20336 25420 40672 50840 81344 101680 203360 406720 320714767 641429534 1282859068 1603573835 2565718136 3207147670 5131436272 6414295340 9942157777 10262872544 12828590680 13149305447 19884315554 20525745088 25657181360 26298610894 39768631108 49710788885 51314362720 52597221788 65746527235 79537262216 99421577770 102628725440 105194443576 131493054470 159074524432 198843155540 210388887152 262986108940 318149048864 397686311080 407628468857 420777774304 525972217880 636298097728 795372622160 815256937714 841555548608 1051944435760 1590745244320 1630513875428 2038142344285 2103888871520 3181490488640 3261027750856 4076284688570 4207777743040 6522055501712 8152569377140 13044111003424 16305138754280 26088222006848 32610277508560 65220555017120 130441110034240