Search a number
-
+
1079841381120 = 2832593736231
BaseRepresentation
bin11111011011010111000…
…11111101101100000000
310211020021000001211021200
433231223203331230000
5120143003343143440
62144023340221200
7141005322202635
oct17555343755400
93736230054250
101079841381120
11386a5a343297
1215534483a800
137aaa05a4718
143a39c0d218c
151d150d51c30
hexfb6b8fdb00

1079841381120 has 108 divisors (see below), whose sum is σ = 3736138735056. Its totient is φ = 287957698560.

The previous prime is 1079841381107. The next prime is 1079841381167. The reversal of 1079841381120 is 211831489701.

It is a happy number.

1079841381120 is a `hidden beast` number, since 1 + 0 + 79 + 84 + 1 + 381 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46856596 + ... + 46879635.

Almost surely, 21079841381120 is an apocalyptic number.

1079841381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1079841381120 is an abundant number, since it is smaller than the sum of its proper divisors (2656297353936).

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

1079841381120 is an equidigital number, since it uses as much as digits as its factorization.

1079841381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93736258 (or 93736241 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1079841381120 in words is "one trillion, seventy-nine billion, eight hundred forty-one million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 93736231 187472462 281208693 374944924 468681155 562417386 749889848 843626079 937362310 1124834772 1406043465 1499779696 1687252158 1874724620 2249669544 2812086930 2999559392 3374504316 3749449240 4218130395 4499339088 5624173860 5999118784 6749008632 7498898480 8436260790 8998678176 11248347720 11998237568 13498017264 14997796960 16872521580 17997356352 22496695440 23996475136 26996034528 29995593920 33745043160 35994712704 44993390880 53992069056 59991187840 67490086320 71989425408 89986781760 107984138112 119982375680 134980172640 179973563520 215968276224 269960345280 359947127040 539920690560 1079841381120