Search a number
-
+
1004140223320 = 2351317383296581
BaseRepresentation
bin11101001110010110110…
…10111101101101011000
310112222212020222120011111
432213023122331231120
5112422434344121240
62045143505510104
7132355350032653
oct16471332755530
93488766876144
101004140223320
11357942a83a63
12142738642334
13738c7c75120
143685a25c89a
151b1bee891ea
hexe9cb6bdb58

1004140223320 has 128 divisors (see below), whose sum is σ = 2582968227840. Its totient is φ = 348037816320.

The previous prime is 1004140223293. The next prime is 1004140223413. The reversal of 1004140223320 is 233220414001.

It is a junction number, because it is equal to n+sod(n) for n = 1004140223291 and 1004140223300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3237430 + ... + 3534010.

It is an arithmetic number, because the mean of its divisors is an integer number (20179439280).

Almost surely, 21004140223320 is an apocalyptic number.

1004140223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004140223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291484113920).

1004140223320 is an abundant number, since it is smaller than the sum of its proper divisors (1578828004520).

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

1004140223320 is a wasteful number, since it uses less digits than its factorization.

1004140223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297005 (or 297001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004140223320 its reverse (233220414001), we get a palindrome (1237360637321).

The spelling of 1004140223320 in words is "one trillion, four billion, one hundred forty million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 383 442 520 680 766 884 1105 1532 1768 1915 2210 3064 3830 4420 4979 6511 7660 8840 9958 13022 15320 19916 24895 26044 32555 39832 49790 52088 65110 84643 99580 130220 169286 199160 260440 296581 338572 423215 593162 677144 846430 1186324 1482905 1692860 2372648 2965810 3385720 3855553 5041877 5931620 7711106 10083754 11863240 15422212 19277765 20167508 25209385 30844424 38555530 40335016 50418770 65544401 77111060 100837540 113590523 131088802 154222120 201675080 227181046 262177604 327722005 454362092 524355208 567952615 655444010 908724184 1135905230 1310888020 1476676799 1931038891 2271810460 2621776040 2953353598 3862077782 4543620920 5906707196 7383383995 7724155564 9655194455 11813414392 14766767990 15448311128 19310388910 25103505583 29533535980 38620777820 50207011166 59067071960 77241555640 100414022332 125517527915 200828044664 251035055830 502070111660 1004140223320