Search a number
-
+
1361062104320 = 28515119333643
BaseRepresentation
bin10011110011100101100…
…111111000110100000000
311211010010202110202012102
4103303211213320310000
5134244423344314240
62521132512245532
7200222250000212
oct23634547706400
94733122422172
101361062104320
11485250090a16
1219b948b408a8
139b4698c7509
1449c391145b2
152560ea25815
hex13ce59f8d00

1361062104320 has 144 divisors (see below), whose sum is σ = 3284358655872. Its totient is φ = 540391219200.

The previous prime is 1361062104317. The next prime is 1361062104361. The reversal of 1361062104320 is 234012601631.

It is a congruent number.

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, 373608419 + ... + 373612061.

Almost surely, 21361062104320 is an apocalyptic number.

1361062104320 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 1361062104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642179327936).

1361062104320 is an abundant number, since it is smaller than the sum of its proper divisors (1923296551552).

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

1361062104320 is a wasteful number, since it uses less digits than its factorization.

1361062104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 1361062104320 its reverse (234012601631), we get a palindrome (1595074705951).

The spelling of 1361062104320 in words is "one trillion, three hundred sixty-one billion, sixty-two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 256 302 320 604 640 755 1208 1280 1510 1933 2416 3020 3643 3866 4832 6040 7286 7732 9664 9665 12080 14572 15464 18215 19328 19330 24160 29144 30928 36430 38656 38660 48320 58288 61856 72860 77320 96640 116576 123712 145720 154640 193280 233152 247424 291440 291883 309280 466304 494848 550093 582880 583766 618560 932608 1100186 1165760 1167532 1237120 1459415 2200372 2331520 2335064 2474240 2750465 2918830 4400744 4663040 4670128 5500930 5837660 7041919 8801488 9340256 11001860 11675320 14083838 17602976 18680512 22003720 23350640 28167676 35205952 35209595 37361024 44007440 46701280 56335352 70411904 70419190 74722048 88014880 93402560 112670704 140823808 140838380 176029760 186805120 225341408 281676760 352059520 373610240 450682816 563353520 704119040 901365632 1063329769 1126707040 1802731264 2126659538 2253414080 4253319076 4506828160 5316648845 8506638152 9013656320 10633297690 17013276304 21266595380 34026552608 42533190760 68053105216 85066381520 136106210432 170132763040 272212420864 340265526080 680531052160 1361062104320