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114012500022144 = 2732229432179843
BaseRepresentation
bin11001111011000110011010…
…100100000101001110000000
3112221200111012011020101211100
4121323012122210011032000
5104420440100001202034
61042252341444414400
733005063015125143
oct3173063244051600
9487614164211740
10114012500022144
113336747aa65479
12109544776a7400
134b804429c38a9
14202233d45c05a
15d2aad7cad099
hex67b19a905380

114012500022144 has 96 divisors (see below), whose sum is σ = 329515522057800. Its totient is φ = 37838209526784.

The previous prime is 114012500022139. The next prime is 114012500022173. The reversal of 114012500022144 is 441220005210411.

114012500022144 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 12 + 500 + 0 + 2 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1140125000221442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215826114 + ... + 216353729.

Almost surely, 2114012500022144 is an apocalyptic number.

It is an amenable number.

114012500022144 is an abundant number, since it is smaller than the sum of its proper divisors (215503022035656).

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

114012500022144 is a wasteful number, since it uses less digits than its factorization.

114012500022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432180092 (or 432180077 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114012500022144 its reverse (441220005210411), we get a palindrome (555232505232555).

The spelling of 114012500022144 in words is "one hundred fourteen trillion, twelve billion, five hundred million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 288 384 458 576 687 916 1152 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 14656 16488 21984 29312 32976 43968 65952 87936 131904 263808 432179843 864359686 1296539529 1728719372 2593079058 3457438744 3889618587 5186158116 6914877488 7779237174 10372316232 13829754976 15558474348 20744632464 27659509952 31116948696 41489264928 55319019904 62233897392 82978529856 98969184047 124467794784 165957059712 197938368094 248935589568 296907552141 395876736188 497871179136 593815104282 791753472376 890722656423 1187630208564 1583506944752 1781445312846 2375260417128 3167013889504 3562890625692 4750520834256 6334027779008 7125781251384 9501041668512 12668055558016 14251562502768 19002083337024 28503125005536 38004166674048 57006250011072 114012500022144