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1215443030144 = 27717694911483
BaseRepresentation
bin10001101011111110000…
…011001101000010000000
311022012021022111022202212
4101223332003031002000
5124403211403431034
62330211122201252
7153545545202360
oct21537603150200
94265238438685
101215443030144
114295149a4222
121776894b3228
138a800b60175
1442b835149a0
152193a8632ce
hex11afe0cd080

1215443030144 has 128 divisors (see below), whose sum is σ = 2930762736000. Its totient is φ = 490149494784.

The previous prime is 1215443030089. The next prime is 1215443030167. The reversal of 1215443030144 is 4410303445121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1215443030144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105841427 + ... + 105852909.

It is an arithmetic number, because the mean of its divisors is an integer number (22896583875).

Almost surely, 21215443030144 is an apocalyptic number.

1215443030144 is a gapful number since it is divisible by the number (14) 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 1215443030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465381368000).

1215443030144 is an abundant number, since it is smaller than the sum of its proper divisors (1715319705856).

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

1215443030144 is a wasteful number, since it uses less digits than its factorization.

1215443030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18470 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1215443030144 its reverse (4410303445121), we get a palindrome (5625746475265).

The spelling of 1215443030144 in words is "one trillion, two hundred fifteen billion, four hundred forty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 6949 7616 11483 13898 15232 22966 27796 45932 48643 55592 80381 91864 97286 111184 118133 160762 183728 194572 195211 222368 236266 321524 367456 389144 390422 444736 472532 643048 734912 778288 780844 826931 889472 945064 1286096 1366477 1469824 1556576 1561688 1653862 1890128 2572192 2732954 3113152 3123376 3307724 3780256 5144384 5465908 6226304 6246752 6615448 7560512 10288768 10931816 12493504 13230896 15121024 21863632 24987008 26461792 43727264 52923584 79795367 87454528 105847168 159590734 174909056 319181468 558567569 638362936 1117135138 1276725872 1356521239 2234270276 2553451744 2713042478 4468540552 5106903488 5426084956 8937081104 9495648673 10213806976 10852169912 17874162208 18991297346 21704339824 35748324416 37982594692 43408679648 71496648832 75965189384 86817359296 151930378768 173634718592 303860757536 607721515072 1215443030144