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10300144540440 = 23351743311660717
BaseRepresentation
bin1001010111100011000001…
…1101001101101100011000
31100110200110210010200210010
42111320300131031230120
52322224144000243230
633523453204121520
72112106120010436
oct225706035155430
940420423120703
1010300144540440
1133112a3083727
1211a42a16962a0
135993b7bc4001
1427875b537d56
1512cde51539b0
hex95e3074db18

10300144540440 has 128 divisors (see below), whose sum is σ = 32793670445760. Its totient is φ = 2579163807744.

The previous prime is 10300144540381. The next prime is 10300144540447. The reversal of 10300144540440 is 4404544100301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10300144540398 and 10300144540407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300144540447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4947039 + ... + 6713678.

Almost surely, 210300144540440 is an apocalyptic number.

10300144540440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300144540440 is an abundant number, since it is smaller than the sum of its proper divisors (22493525905320).

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

10300144540440 is a wasteful number, since it uses less digits than its factorization.

10300144540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661181 (or 11661177 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10300144540440 its reverse (4404544100301), we get a palindrome (14704688640741).

The spelling of 10300144540440 in words is "ten trillion, three hundred billion, one hundred forty-four million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 433 510 680 866 1020 1299 1732 2040 2165 2598 3464 4330 5196 6495 7361 8660 10392 12990 14722 17320 22083 25980 29444 36805 44166 51960 58888 73610 88332 110415 147220 176664 220830 294440 441660 883320 11660717 23321434 34982151 46642868 58303585 69964302 93285736 116607170 139928604 174910755 198232189 233214340 279857208 349821510 396464378 466428680 594696567 699643020 792928756 991160945 1189393134 1399286040 1585857512 1982321890 2378786268 2973482835 3964643780 4757572536 5049090461 5946965670 7929287560 10098180922 11893931340 15147271383 20196361844 23787862680 25245452305 30294542766 40392723688 50490904610 60589085532 75736356915 85834537837 100981809220 121178171064 151472713830 171669075674 201963618440 257503613511 302945427660 343338151348 429172689185 515007227022 605890855320 686676302696 858345378370 1030014454044 1287518067555 1716690756740 2060028908088 2575036135110 3433381513480 5150072270220 10300144540440