Search a number
-
+
5020413133440 = 273523391117913
BaseRepresentation
bin100100100001110011111…
…1100010000001010000000
3122202221120020000202012110
41021003213330100022000
51124223301230232230
614402202420455320
71025466342350535
oct111034774201200
918687506022173
105020413133440
111666166371881
12690ba624a540
132a556622b353
14134dbc890d8c
158a8d48974b0
hex490e7f10280

5020413133440 has 128 divisors (see below), whose sum is σ = 16009422811200. Its totient is φ = 1338203267072.

The previous prime is 5020413133397. The next prime is 5020413133451. The reversal of 5020413133440 is 443313140205.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5020413133398 and 5020413133407.

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, 3931924 + ... + 5049836.

Almost surely, 25020413133440 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 5020413133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004711405600).

5020413133440 is an abundant number, since it is smaller than the sum of its proper divisors (10989009677760).

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

5020413133440 is a wasteful number, since it uses less digits than its factorization.

5020413133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120274 (or 1120262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 5020413133440 its reverse (443313140205), we get a palindrome (5463726273645).

The spelling of 5020413133440 in words is "five trillion, twenty billion, four hundred thirteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2339 4678 7017 9356 11695 14034 18712 23390 28068 35085 37424 46780 56136 70170 74848 93560 112272 140340 149696 187120 224544 280680 299392 374240 449088 561360 748480 898176 1117913 1122720 1496960 2235826 2245440 3353739 4471652 4490880 5589565 6707478 8943304 11179130 13414956 16768695 17886608 22358260 26829912 33537390 35773216 44716520 53659824 67074780 71546432 89433040 107319648 134149560 143092864 178866080 214639296 268299120 357732160 429278592 536598240 715464320 1073196480 2146392960 2614798507 5229597014 7844395521 10459194028 13073992535 15688791042 20918388056 26147985070 31377582084 39221977605 41836776112 52295970140 62755164168 78443955210 83673552224 104591940280 125510328336 156887910420 167347104448 209183880560 251020656672 313775820840 334694208896 418367761120 502041313344 627551641680 836735522240 1004082626688 1255103283360 1673471044480 2510206566720 5020413133440