Search a number
-
+
5020342145040 = 2435473257136649
BaseRepresentation
bin100100100001110001110…
…1101011101000000010000
3122202221101021110011102110
41021003203231131000100
51124223130042120130
614402151403145320
71025464521066345
oct111034355350020
918687337404373
105020342145040
11166612a296182
12690b86515240
132a5554604991
14134db32927cc
158a8cd523ab0
hex490e3b5d010

5020342145040 has 160 divisors (see below), whose sum is σ = 15899185958400. Its totient is φ = 1309861814272.

The previous prime is 5020342145023. The next prime is 5020342145057. The reversal of 5020342145040 is 405412430205.

It is an interprime number because it is at equal distance from previous prime (5020342145023) and next prime (5020342145057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5020342144989 and 5020342145007.

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 31 ways as a sum of consecutive naturals, for example, 36670636 + ... + 36807284.

It is an arithmetic number, because the mean of its divisors is an integer number (99369912240).

Almost surely, 25020342145040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020342145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949592979200).

5020342145040 is an abundant number, since it is smaller than the sum of its proper divisors (10878843813360).

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

5020342145040 is a wasteful number, since it uses less digits than its factorization.

5020342145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139969 (or 139963 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 5020342145040 its reverse (405412430205), we get a palindrome (5425754575245).

The spelling of 5020342145040 in words is "five trillion, twenty billion, three hundred forty-two million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3257 3760 5640 6514 9771 11280 13028 16285 19542 26056 32570 39084 48855 52112 65140 78168 97710 130280 136649 153079 156336 195420 260560 273298 306158 390840 409947 459237 546596 612316 683245 765395 781680 819894 918474 1093192 1224632 1366490 1530790 1639788 1836948 2049735 2186384 2296185 2449264 2732980 3061580 3279576 3673896 4099470 4592370 5465960 6123160 6422503 6559152 7347792 8198940 9184740 10931920 12246320 12845006 16397880 18369480 19267509 25690012 32112515 32795760 36738960 38535018 51380024 64225030 77070036 96337545 102760048 128450060 154140072 192675090 256900120 308280144 385350180 445065793 513800240 770700360 890131586 1335197379 1541400720 1780263172 2225328965 2670394758 3560526344 4450657930 5340789516 6675986895 7121052688 8901315860 10681579032 13351973790 17802631720 20918092271 21363158064 26703947580 35605263440 41836184542 53407895160 62754276813 83672369084 104590461355 106815790320 125508553626 167344738168 209180922710 251017107252 313771384065 334689476336 418361845420 502034214504 627542768130 836723690840 1004068429008 1255085536260 1673447381680 2510171072520 5020342145040