Search a number
-
+
1233330340440 = 2335112340623529
BaseRepresentation
bin10001111100101000001…
…101111000001001011000
311100220102220121211120210
4101330220031320021120
5130201330031343230
62342330101251120
7155051034631152
oct21745015701130
94326386554523
101233330340440
114360639081a0
1217b03ba03aa0
138c3c1926043
144399cda9ad2
1522135dabeb0
hex11f28378258

1233330340440 has 128 divisors (see below), whose sum is σ = 4211847590400. Its totient is φ = 285989637120.

The previous prime is 1233330340427. The next prime is 1233330340453. The reversal of 1233330340440 is 440430333321.

It is an interprime number because it is at equal distance from previous prime (1233330340427) and next prime (1233330340453).

It is a super-2 number, since 2×12333303404402 (a number of 25 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 = 1233330340398 and 1233330340407.

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, 20281405 + ... + 20342124.

It is an arithmetic number, because the mean of its divisors is an integer number (32905059300).

Almost surely, 21233330340440 is an apocalyptic number.

1233330340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233330340440 is an abundant number, since it is smaller than the sum of its proper divisors (2978517249960).

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

1233330340440 is a wasteful number, since it uses less digits than its factorization.

1233330340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40623577 (or 40623573 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 1233330340440 its reverse (440430333321), we get a palindrome (1673760673761).

The spelling of 1233330340440 in words is "one trillion, two hundred thirty-three billion, three hundred thirty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 40623529 81247058 121870587 162494116 203117645 243741174 324988232 406235290 446858819 487482348 609352935 812470580 893717638 934341167 974964696 1218705870 1340576457 1624941160 1787435276 1868682334 2234294095 2437411740 2681152914 2803023501 3574870552 3737364668 4468588190 4671705835 4874823480 5362305828 5606047002 6702882285 7474729336 8937176380 9343411670 10277752837 10724611656 11212094004 13405764570 14015117505 17874352760 18686823340 20555505674 22424188008 26811529140 28030235010 30833258511 37373646680 41111011348 51388764185 53623058280 56060470020 61666517022 82222022696 102777528370 112120940040 123333034044 154166292555 205555056740 246666068088 308332585110 411110113480 616665170220 1233330340440