Search a number
-
+
334552103040 = 27351131541999
BaseRepresentation
bin1001101111001001101…
…10111111100010000000
31011222112111210201120010
410313210312333202000
520440130314244130
6413405140344520
733112340645541
oct4674466774200
91158474721503
10334552103040
11119978a38761
1254a089a5140
1325718310bac
1412299d7a4c8
158a80c690b0
hex4de4dbf880

334552103040 has 128 divisors (see below), whose sum is σ = 1075822560000. Its totient is φ = 88424333312.

The previous prime is 334552103029. The next prime is 334552103051. The reversal of 334552103040 is 40301255433.

It is an interprime number because it is at equal distance from previous prime (334552103029) and next prime (334552103051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3345521030402 (a number of 24 digits) contains 22 as substring.

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 = 334552102989 and 334552103007.

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, 554040 + ... + 987959.

It is an arithmetic number, because the mean of its divisors is an integer number (8404863750).

Almost surely, 2334552103040 is an apocalyptic number.

334552103040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334552103040 is an abundant number, since it is smaller than the sum of its proper divisors (741270456960).

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

334552103040 is a wasteful number, since it uses less digits than its factorization.

334552103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542134 (or 1542122 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 334552103040 its reverse (40301255433), we get a palindrome (374853358473).

The spelling of 334552103040 in words is "three hundred thirty-four billion, five hundred fifty-two million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 72320 108480 216960 1541999 3083998 4625997 6167996 7709995 9251994 12335992 15419990 18503988 23129985 24671984 30839980 37007976 46259970 49343968 61679960 74015952 92519940 98687936 123359920 148031904 174245887 185039880 197375872 246719840 296063808 348491774 370079760 493439680 522737661 592127616 696983548 740159520 871229435 986879360 1045475322 1393967096 1480319040 1742458870 2090950644 2613688305 2787934192 2960638080 3484917740 4181901288 5227376610 5575868384 6969835480 8363802576 10454753220 11151736768 13939670960 16727605152 20909506440 22303473536 27879341920 33455210304 41819012880 55758683840 66910420608 83638025760 111517367680 167276051520 334552103040