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114555078540 = 223257194785091
BaseRepresentation
bin110101010110000000…
…0111100011110001100
3101221200112120221102200
41222230000330132030
53334102100003130
6124343104521500
711163532046550
oct1525400743614
9357615527380
10114555078540
11446453a0031
121a250320290
13aa58119556
14578a149860
152ea6e65760
hex1aac03c78c

114555078540 has 144 divisors (see below), whose sum is σ = 418025637120. Its totient is φ = 24805906560.

The previous prime is 114555078481. The next prime is 114555078551. The reversal of 114555078540 is 45870555411.

114555078540 is a `hidden beast` number, since 1 + 1 + 4 + 55 + 50 + 7 + 8 + 540 = 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2368606 + ... + 2416485.

Almost surely, 2114555078540 is an apocalyptic number.

114555078540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114555078540 is an abundant number, since it is smaller than the sum of its proper divisors (303470558580).

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

114555078540 is a wasteful number, since it uses less digits than its factorization.

114555078540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785132 (or 4785127 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 114555078540 in words is "one hundred fourteen billion, five hundred fifty-five million, seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 4785091 9570182 14355273 19140364 23925455 28710546 33495637 43065819 47850910 57421092 66991274 71776365 86131638 90916729 95701820 100486911 133982548 143552730 167478185 172263276 181833458 200973822 215329095 272750187 287105460 301460733 334956370 363666916 401947644 430658190 454583645 502434555 545500374 602921466 636417103 669912740 818250561 861316380 909167290 1004869110 1091000748 1205842932 1272834206 1363750935 1507303665 1636501122 1818334580 1909251309 2009738220 2545668412 2727501870 3014607330 3182085515 3273002244 3818502618 4091252805 5455003740 5727753927 6029214660 6364171030 7637005236 8182505610 9546256545 11455507854 12728342060 16365011220 19092513090 22911015708 28638769635 38185026180 57277539270 114555078540