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145010541443240 = 2351113113011933741
BaseRepresentation
bin100000111110001011100101…
…110011111011100010101000
3201000102212112221221110122002
4200332023211303323202220
5123001323042102140430
61232224531215150132
742354444253606004
oct4076134563734250
9630385487843562
10145010541443240
1142228697256070
1214320020b15348
1362bb5876c7935
1427b4794a99704
1511b70cc3bd845
hex83e2e5cfb8a8

145010541443240 has 128 divisors (see below), whose sum is σ = 358927885895040. Its totient is φ = 52288329600000.

The previous prime is 145010541443237. The next prime is 145010541443293. The reversal of 145010541443240 is 42344145010541.

It is a junction number, because it is equal to n+sod(n) for n = 145010541443194 and 145010541443203.

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, 74022770 + ... + 75956510.

It is an arithmetic number, because the mean of its divisors is an integer number (2804124108555).

Almost surely, 2145010541443240 is an apocalyptic number.

145010541443240 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 145010541443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179463942947520).

145010541443240 is an abundant number, since it is smaller than the sum of its proper divisors (213917344451800).

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

145010541443240 is a wasteful number, since it uses less digits than its factorization.

145010541443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935195 (or 1935191 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 145010541443240 its reverse (42344145010541), we get a palindrome (187354686453781).

The spelling of 145010541443240 in words is "one hundred forty-five trillion, ten billion, five hundred forty-one million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1301 1310 1441 2602 2620 2882 5204 5240 5764 6505 7205 10408 11528 13010 14311 14410 26020 28622 28820 52040 57244 57640 71555 114488 143110 170431 286220 340862 572440 681724 852155 1363448 1704310 1874741 1933741 3408620 3749482 3867482 6817240 7498964 7734964 9373705 9668705 14997928 15469928 18747410 19337410 21271151 37494820 38674820 42542302 74989640 77349640 85084604 106355755 170169208 212711510 253320071 425423020 506640142 850846040 1013280284 1266600355 2026560568 2515797041 2533200710 2786520781 5031594082 5066401420 5573041562 10063188164 10132802840 11146083124 12578985205 13932603905 20126376328 22292166248 25157970410 27673767451 27865207810 50315940820 55347534902 55730415620 100631881640 110695069804 111460831240 138368837255 221390139608 276737674510 329569412371 553475349020 659138824742 1106950698040 1318277649484 1647847061855 2636555298968 3295694123710 3625263536081 6591388247420 7250527072162 13182776494840 14501054144324 18126317680405 29002108288648 36252635360810 72505270721620 145010541443240