Search a number
-
+
311432113034240 = 2105115529689507
BaseRepresentation
bin100011011001111101111000…
…0011110000001010000000000
31111211200121201102111210120212
41012303323300132001100000
5311310000431414043430
63022205534305453252
7122412141041105102
oct10663736036012000
91454617642453525
10311432113034240
1190260687875750
122ab19768641228
13104a0bcb231ac3
1456c9575099572
1526010e5cc9b95
hex11b3ef0781400

311432113034240 has 88 divisors (see below), whose sum is σ = 814987758447072. Its totient is φ = 113248041082880.

The previous prime is 311432113034221. The next prime is 311432113034293. The reversal of 311432113034240 is 42430311234113.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×3114321130342402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 311432113034197 and 311432113034206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2764788434 + ... + 2764901073.

Almost surely, 2311432113034240 is an apocalyptic number.

It is an amenable number.

311432113034240 is an abundant number, since it is smaller than the sum of its proper divisors (503555645412832).

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

311432113034240 is a wasteful number, since it uses less digits than its factorization.

311432113034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529689543 (or 5529689525 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 311432113034240 its reverse (42430311234113), we get a palindrome (353862424268353).

The spelling of 311432113034240 in words is "three hundred eleven trillion, four hundred thirty-two billion, one hundred thirteen million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 5529689507 11059379014 22118758028 27648447535 44237516056 55296895070 60826584577 88475032112 110593790140 121653169154 176950064224 221187580280 243306338308 304132922885 353900128448 442375160560 486612676616 608265845770 707800256896 884750321120 973225353232 1216531691540 1415600513792 1769500642240 1946450706464 2433063383080 2831201027584 3539001284480 3892901412928 4866126766160 5662402055168 7078002568960 7785802825856 9732253532320 14156005137920 15571605651712 19464507064640 28312010275840 31143211303424 38929014129280 62286422606848 77858028258560 155716056517120 311432113034240