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130441020023440 = 2457593947972761
BaseRepresentation
bin11101101010001010101010…
…101010011010001010010000
3122002212001001221222202101001
4131222022222222122022100
5114044121202111222230
61141231435523351344
736322024035101530
oct3552125252321220
9562761057882331
10130441020023440
11386207a9238345
1212768415822554
1357a26c63a3c39
14242d5441ad4c0
15101310c2b30ca
hex76a2aaa9a290

130441020023440 has 80 divisors (see below), whose sum is σ = 352475008191360. Its totient is φ = 43964624655360.

The previous prime is 130441020023429. The next prime is 130441020023497. The reversal of 130441020023440 is 44320020144031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130441020023399 and 130441020023408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973953341 + ... + 1974019420.

It is an arithmetic number, because the mean of its divisors is an integer number (4405937602392).

Almost surely, 2130441020023440 is an apocalyptic number.

130441020023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441020023440 is an abundant number, since it is smaller than the sum of its proper divisors (222033988167920).

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

130441020023440 is a wasteful number, since it uses less digits than its factorization.

130441020023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947972840 (or 3947972834 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130441020023440 its reverse (44320020144031), we get a palindrome (174761040167471).

The spelling of 130441020023440 in words is "one hundred thirty trillion, four hundred forty-one billion, twenty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 3947972761 7895945522 15791891044 19739863805 27635809327 31583782088 39479727610 55271618654 63167564176 78959455220 110543237308 138179046635 157918910440 221086474616 232930392899 276358093270 315837820880 442172949232 465860785798 552716186540 931721571596 1105432373080 1164651964495 1630512750293 1863443143192 2210864746160 2329303928990 3261025500586 3726886286384 4658607857980 6522051001172 8152563751465 9317215715960 13044102002344 16305127502930 18634431431920 26088204004688 32610255005860 65220510011720 130441020023440