Search a number
-
+
5034353120440 = 2357232668329297
BaseRepresentation
bin100100101000010011011…
…0101000101010010111000
3122211021112201120110102021
41021100212311011102320
51124440323344323230
614412425551044224
71026501651316210
oct111204665052270
918737481513367
105034353120440
11167106a100396
12693836810674
132a6978287377
14135941dc5240
158ae4d5c3c7a
hex49426d454b8

5034353120440 has 128 divisors (see below), whose sum is σ = 13509293736960. Its totient is φ = 1650899441664.

The previous prime is 5034353120437. The next prime is 5034353120443. The reversal of 5034353120440 is 440213534305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5034353120437) and next prime (5034353120443).

It is a super-2 number, since 2×50343531204402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5034353120396 and 5034353120405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034353120443) 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, 171823872 + ... + 171853168.

It is an arithmetic number, because the mean of its divisors is an integer number (105541357320).

Almost surely, 25034353120440 is an apocalyptic number.

It is an amenable number.

5034353120440 is an abundant number, since it is smaller than the sum of its proper divisors (8474940616520).

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

5034353120440 is a wasteful number, since it uses less digits than its factorization.

5034353120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56021 (or 56017 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 5034353120440 its reverse (440213534305), we get a palindrome (5474566654745).

The spelling of 5034353120440 in words is "five trillion, thirty-four billion, three hundred fifty-three million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 26683 29297 53366 58594 106732 117188 133415 146485 186781 205079 213464 234376 266830 292970 373562 410158 533660 585940 613709 673831 747124 820316 933905 1025395 1067320 1171880 1227418 1347662 1494248 1640632 1867810 2050790 2454836 2695324 3068545 3369155 3735620 4101580 4295963 4716817 4909672 5390648 6137090 6738310 7471240 8203160 8591926 9433634 12274180 13476620 17183852 18867268 21479815 23584085 24548360 26953240 34367704 37734536 42959630 47168170 85919260 94336340 171838520 188672680 781731851 1563463702 3126927404 3908659255 5472122957 6253854808 7817318510 10944245914 15634637020 17979832573 21888491828 27360614785 31269274040 35959665146 43776983656 54721229570 71919330292 89899162865 109442459140 125858828011 143838660584 179798325730 218884918280 251717656022 359596651460 503435312044 629294140055 719193302920 1006870624088 1258588280110 2517176560220 5034353120440