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142299455076 = 223419211032
BaseRepresentation
bin1000010010000110110…
…1010101111001100100
3111121022002112022010000
42010201231111321210
54312412130030301
6145212123101300
713165212260652
oct2044155257144
9447262468100
10142299455076
1155392372839
12236b3971830
131055a0a60bc
146c5cb97dd2
153a7ca36786
hex2121b55e64

142299455076 has 135 divisors (see below), whose sum is σ = 392964509091. Its totient is φ = 44895929616.

The previous prime is 142299455071. The next prime is 142299455099. The reversal of 142299455076 is 670554992241.

It is a happy number.

The square root of 142299455076 is 377226.

It is a perfect power (a square), and thus also a powerful number.

142299455076 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 99 + 45 + 507 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142299455071) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 129010741 + ... + 129011843.

Almost surely, 2142299455076 is an apocalyptic number.

142299455076 is the 377226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142299455076

142299455076 is an abundant number, since it is smaller than the sum of its proper divisors (250665054015).

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

142299455076 is an equidigital number, since it uses as much as digits as its factorization.

142299455076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 142299455076 in words is "one hundred forty-two billion, two hundred ninety-nine million, four hundred fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1103 1444 1539 2052 2166 2206 3078 3249 3309 4332 4412 6156 6498 6618 9747 9927 12996 13236 19494 19854 20957 29241 29781 38988 39708 41914 58482 59562 62871 83828 89343 116964 119124 125742 178686 188613 251484 357372 377226 398183 565839 754452 796366 1131678 1194549 1216609 1592732 1697517 2263356 2389098 2433218 3395034 3583647 3649827 4778196 4866436 6790068 7167294 7299654 10750941 10949481 14334588 14599308 21501882 21898962 23115571 32252823 32848443 43003764 43797924 46231142 64505646 65696886 69346713 92462284 98545329 129011292 131393772 138693426 197090658 208040139 277386852 394181316 416080278 439195849 624120417 832160556 878391698 1248240834 1317587547 1756783396 1872361251 2496481668 2635175094 3744722502 3952762641 5270350188 7489445004 7905525282 11858287923 15811050564 23716575846 35574863769 47433151692 71149727538 142299455076