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1361447554440 = 2335107433244877
BaseRepresentation
bin10011110011111100100…
…110010000110110001000
311211011010121202122100210
4103303330212100312020
5134301221033220230
62521235042001120
7200234640162411
oct23637446206610
94734117678323
101361447554440
11485428719336
1219ba360461a0
139b4cb7132cc
1449c743ac808
15256337b2eb0
hex13cfc990d88

1361447554440 has 128 divisors (see below), whose sum is σ = 4132051781760. Its totient is φ = 358827577344.

The previous prime is 1361447554409. The next prime is 1361447554447. The reversal of 1361447554440 is 444557441631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1361447554440.

It is not an unprimeable number, because it can be changed into a prime (1361447554447) 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, 5437282 + ... + 5682158.

It is an arithmetic number, because the mean of its divisors is an integer number (32281654545).

Almost surely, 21361447554440 is an apocalyptic number.

1361447554440 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 1361447554440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066025890880).

1361447554440 is an abundant number, since it is smaller than the sum of its proper divisors (2770604227320).

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

1361447554440 is a wasteful number, since it uses less digits than its factorization.

1361447554440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245431 (or 245427 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 1361447554440 in words is "one trillion, three hundred sixty-one billion, four hundred forty-seven million, five hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 433 535 642 856 866 1070 1284 1299 1605 1732 2140 2165 2568 2598 3210 3464 4280 4330 5196 6420 6495 8660 10392 12840 12990 17320 25980 46331 51960 92662 138993 185324 231655 244877 277986 370648 463310 489754 555972 694965 734631 926620 979508 1111944 1224385 1389930 1469262 1853240 1959016 2448770 2779860 2938524 3673155 4897540 5559720 5877048 7346310 9795080 14692620 26201839 29385240 52403678 78605517 104807356 106031741 131009195 157211034 209614712 212063482 262018390 314422068 318095223 393027585 424126964 524036780 530158705 628844136 636190446 786055170 848253928 1048073560 1060317410 1272380892 1572110340 1590476115 2120634820 2544761784 3144220680 3180952230 4241269640 6361904460 11345396287 12723808920 22690792574 34036188861 45381585148 56726981435 68072377722 90763170296 113453962870 136144755444 170180944305 226907925740 272289510888 340361888610 453815851480 680723777220 1361447554440