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311420231401140 = 2232569110093248071
BaseRepresentation
bin100011011001111000010110…
…0010001001011111010110100
31111211122111001101010022002200
41012303300230101023322310
5311304302113214314030
63022200251305104500
7122411240434641261
oct10663605421137264
91454574041108080
10311420231401140
119025663aa0a964
122ab173b1488130
131049ca56771a84
1456c8b69090268
152600b4cb3ad60
hex11b3c2c44beb4

311420231401140 has 144 divisors (see below), whose sum is σ = 946105975790976. Its totient is φ = 82916663212800.

The previous prime is 311420231401133. The next prime is 311420231401163. The reversal of 311420231401140 is 41104132024113.

It is a happy number.

311420231401140 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 20 + 231 + 401 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255243305 + ... + 1255491375.

Almost surely, 2311420231401140 is an apocalyptic number.

311420231401140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311420231401140 is an abundant number, since it is smaller than the sum of its proper divisors (634685744389836).

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

311420231401140 is a wasteful number, since it uses less digits than its factorization.

311420231401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258870 (or 258865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 311420231401140 its reverse (41104132024113), we get a palindrome (352524363425253).

The spelling of 311420231401140 in words is "three hundred eleven trillion, four hundred twenty billion, two hundred thirty-one million, four hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 691 1382 2073 2764 3455 4146 6219 6910 8292 10093 10365 12438 13820 20186 20730 24876 30279 31095 40372 41460 50465 60558 62190 90837 100930 121116 124380 151395 181674 201860 248071 302790 363348 454185 496142 605580 744213 908370 992284 1240355 1488426 1816740 2232639 2480710 2976852 3721065 4465278 4961420 6974263 7442130 8930556 11163195 13948526 14884260 20922789 22326390 27897052 34871315 41845578 44652780 62768367 69742630 83691156 104613945 125536734 139485260 171417061 209227890 251073468 313841835 342834122 418455780 514251183 627683670 685668244 857085305 1028502366 1255367340 1542753549 1714170610 2057004732 2503780603 2571255915 3085507098 3428341220 5007561206 5142511830 6171014196 7511341809 7713767745 10015122412 10285023660 12518903015 15022683618 15427535490 22534025427 25037806030 30045367236 30855070980 37556709045 45068050854 50075612060 75113418090 90136101708 112670127135 150226836180 225340254270 450680508540 1730112396673 3460224793346 5190337190019 6920449586692 8650561983365 10380674380038 15571011570057 17301123966730 20761348760076 25951685950095 31142023140114 34602247933460 51903371900190 62284046280228 77855057850285 103806743800380 155710115700570 311420231401140