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1414133152542 = 2381110197001
BaseRepresentation
bin10100100101000000111…
…001110111101100011110
312000012010101000100000000
4110211000321313230132
5141132121041340132
63001351021115130
7204111352316265
oct24450071675436
95005111010000
101414133152542
114a5804330a50
121aa09a3b8aa6
13a3476996426
144c6316635dc
1526bb8ce587c
hex14940e77b1e

1414133152542 has 144 divisors (see below), whose sum is σ = 3505279016304. Its totient is φ = 424278000000.

The previous prime is 1414133152529. The next prime is 1414133152567. The reversal of 1414133152542 is 2452513314141.

1414133152542 is a `hidden beast` number, since 1 + 41 + 41 + 3 + 31 + 5 + 2 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1414133152497 and 1414133152506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14530042 + ... + 14627042.

It is an arithmetic number, because the mean of its divisors is an integer number (24342215391).

Almost surely, 21414133152542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414133152542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752639508152).

1414133152542 is an abundant number, since it is smaller than the sum of its proper divisors (2091145863762).

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

1414133152542 is an equidigital number, since it uses as much as digits as its factorization.

1414133152542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97139 (or 97118 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 1414133152542 its reverse (2452513314141), we get a palindrome (3866646466683).

The spelling of 1414133152542 in words is "one trillion, four hundred fourteen billion, one hundred thirty-three million, one hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 162 198 202 243 297 303 486 594 606 729 891 909 1111 1458 1782 1818 2187 2222 2673 2727 3333 4374 5346 5454 6561 6666 8019 8181 9999 13122 16038 16362 19998 24057 24543 29997 48114 49086 59994 72171 73629 89991 97001 144342 147258 179982 194002 220887 269973 291003 441774 539946 582006 662661 809919 873009 1067011 1325322 1619838 1746018 2134022 2429757 2619027 3201033 4859514 5238054 6402066 7289271 7857081 9603099 9797101 14578542 15714162 19206198 19594202 23571243 28809297 29391303 47142486 57618594 58782606 70713729 86427891 88173909 107768111 141427458 172855782 176347818 212141187 215536222 259283673 264521727 323304333 424282374 518567346 529043454 636423561 646608666 777851019 793565181 969912999 1272847122 1555702038 1587130362 1939825998 2333553057 2380695543 2909738997 4667106114 4761391086 5819477994 7000659171 7142086629 8729216991 14001318342 14284173258 17458433982 21426259887 26187650973 42852519774 52375301946 64278779661 78562952919 128557559322 157125905838 235688858757 471377717514 707066576271 1414133152542