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1530400942720 = 27513214149417
BaseRepresentation
bin10110010001010011000…
…000010010101010000000
312102022020021101001010001
4112101103000102222000
5200033230120131340
63131020111245344
7215365522243426
oct26212300225200
95368207331101
101530400942720
11540048486641
12208728219854
13b1415890100
1454101043116
1529c212c129a
hex16453012a80

1530400942720 has 96 divisors (see below), whose sum is σ = 3961695545820. Its totient is φ = 565071077376.

The previous prime is 1530400942673. The next prime is 1530400942747. The reversal of 1530400942720 is 272490040351.

It can be written as a sum of positive squares in 6 ways, for example, as 332356862016 + 1198044080704 = 576504^2 + 1094552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1530400942720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6966549 + ... + 7182868.

Almost surely, 21530400942720 is an apocalyptic number.

1530400942720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1530400942720 is an abundant number, since it is smaller than the sum of its proper divisors (2431294603100).

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

1530400942720 is a wasteful number, since it uses less digits than its factorization.

1530400942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14149462 (or 14149437 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 1530400942720 in words is "one trillion, five hundred thirty billion, four hundred million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 260 320 338 416 520 640 676 832 845 1040 1352 1664 1690 2080 2704 3380 4160 5408 6760 8320 10816 13520 21632 27040 54080 108160 14149417 28298834 56597668 70747085 113195336 141494170 183942421 226390672 282988340 367884842 452781344 565976680 735769684 905562688 919712105 1131953360 1471539368 1811125376 1839424210 2263906720 2391251473 2943078736 3678848420 4527813440 4782502946 5886157472 7357696840 9055626880 9565005892 11772314944 11956257365 14715393680 19130011784 23544629888 23912514730 29430787360 38260023568 47825029460 58861574720 76520047136 95650058920 117723149440 153040094272 191300117840 306080188544 382600235680 765200471360 1530400942720