Search a number
-
+
1143542505030 = 235379712778317
BaseRepresentation
bin10000101001000000011…
…100011101111001000110
311001022200102222012120020
4100221000130131321012
5122213433340130110
62233200340320010
7145422022625232
oct20510034357106
94038612865506
101143542505030
11400a78a28542
121657620a3006
1383ab2a59c53
143d4c23395c2
151eb2d48dd70
hex10a4071de46

1143542505030 has 128 divisors (see below), whose sum is σ = 2850308963712. Its totient is φ = 293378899968.

The previous prime is 1143542504983. The next prime is 1143542505031. The reversal of 1143542505030 is 305052453411.

It is a junction number, because it is equal to n+sod(n) for n = 1143542504982 and 1143542505000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143542505031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 137490432 + ... + 137498748.

It is an arithmetic number, because the mean of its divisors is an integer number (22268038779).

Almost surely, 21143542505030 is an apocalyptic number.

1143542505030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143542505030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425154481856).

1143542505030 is an abundant number, since it is smaller than the sum of its proper divisors (1706766458682).

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

1143542505030 is a wasteful number, since it uses less digits than its factorization.

1143542505030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 1143542505030 its reverse (305052453411), we get a palindrome (1448594958441).

The spelling of 1143542505030 in words is "one trillion, one hundred forty-three billion, five hundred forty-two million, five hundred five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 97 111 185 194 222 291 370 485 555 582 970 1110 1277 1455 2554 2910 3589 3831 6385 7178 7662 8317 10767 12770 16634 17945 19155 21534 24951 35890 38310 41585 47249 49902 53835 83170 94498 107670 123869 124755 141747 236245 247738 249510 283494 307729 371607 472490 615458 619345 708735 743214 806749 923187 1238690 1417470 1538645 1613498 1846374 1858035 2420247 3077290 3716070 4033745 4583153 4615935 4840494 8067490 9166306 9231870 10620809 12101235 13749459 21241618 22915765 24202470 27498918 29849713 31862427 45831530 53104045 59699426 63724854 68747295 89549139 106208090 137494590 149248565 159312135 179098278 298497130 318624270 392969933 447745695 785939866 895491390 1030218473 1178909799 1964849665 2060436946 2357819598 3090655419 3929699330 5151092365 5894548995 6181310838 10302184730 11789097990 15453277095 30906554190 38118083501 76236167002 114354250503 190590417505 228708501006 381180835010 571771252515 1143542505030