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114543220402224 = 24322347735836291
BaseRepresentation
bin11010000010110100101011…
…111101101010100000110000
3120000120020001222021010010200
4122002310223331222200300
5110003134003410332344
61043340232400155200
733061321531666035
oct3202645375524060
9500506058233120
10114543220402224
1133551563866139
1210a1b2b0908b00
134bbb4c1530253
14203dcc864b38c
15d397ea8b6069
hex682d2bf6a830

114543220402224 has 120 divisors (see below), whose sum is σ = 341616413578752. Its totient is φ = 35743983623040.

The previous prime is 114543220402223. The next prime is 114543220402231. The reversal of 114543220402224 is 422204022345411.

114543220402224 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 3 + 2 + 20 + 402 + 224 = 666.

It is a super-2 number, since 2×1145432204022242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114543220402223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367762482 + ... + 368073809.

Almost surely, 2114543220402224 is an apocalyptic number.

It is an amenable number.

114543220402224 is an abundant number, since it is smaller than the sum of its proper divisors (227073193176528).

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

114543220402224 is a wasteful number, since it uses less digits than its factorization.

114543220402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735836375 (or 735836366 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 114543220402224 its reverse (422204022345411), we get a palindrome (536747242747635).

The spelling of 114543220402224 in words is "one hundred fourteen trillion, five hundred forty-three billion, two hundred twenty million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 552 564 752 828 846 1081 1104 1128 1656 1692 2162 2256 3243 3312 3384 4324 6486 6768 8648 9729 12972 17296 19458 25944 38916 51888 77832 155664 735836291 1471672582 2207508873 2943345164 4415017746 5886690328 6622526619 8830035492 11773380656 13245053238 16924234693 17660070984 26490106476 33848469386 34584305677 35320141968 50772704079 52980212952 67696938772 69168611354 101545408158 103752917031 105960425904 135393877544 138337222708 152318112237 203090816316 207505834062 270787755088 276674445416 304636224474 311258751093 406181632632 415011668124 553348890832 609272448948 622517502186 795439030571 812363265264 830023336248 1218544897896 1245035004372 1590878061142 1660046672496 2386317091713 2437089795792 2490070008744 3181756122284 4772634183426 4980140017488 6363512244568 7158951275139 9545268366852 12727024489136 14317902550278 19090536733704 28635805100556 38181073467408 57271610201112 114543220402224