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144142334442 = 232671094192617
BaseRepresentation
bin1000011000111110001…
…1010111100111101010
3111210001112020021100100
42012033203113213222
54330200414200232
6150115034250230
713261660425051
oct2061743274752
9453045207310
10144142334442
1156148654337
1223b28b86976
1310791b2a472
146d95833398
153b3970ec7c
hex218f8d79ea

144142334442 has 96 divisors (see below), whose sum is σ = 320763643200. Its totient is φ = 46766294784.

The previous prime is 144142334423. The next prime is 144142334489. The reversal of 144142334442 is 244433241441.

144142334442 is a `hidden beast` number, since 1 + 4 + 414 + 233 + 4 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144142334397 and 144142334406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55077918 + ... + 55080534.

It is an arithmetic number, because the mean of its divisors is an integer number (3341287950).

Almost surely, 2144142334442 is an apocalyptic number.

144142334442 is an abundant number, since it is smaller than the sum of its proper divisors (176621308758).

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

144142334442 is a wasteful number, since it uses less digits than its factorization.

144142334442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3217 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144142334442 its reverse (244433241441), we get a palindrome (388575575883).

The spelling of 144142334442 in words is "one hundred forty-four billion, one hundred forty-two million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 67 109 134 201 218 327 402 419 603 654 838 981 1206 1257 1962 2514 2617 3771 5234 7303 7542 7851 14606 15702 21909 23553 28073 43818 45671 47106 56146 65727 84219 91342 131454 137013 168438 175339 252657 274026 285253 350678 411039 505314 526017 570506 822078 855759 1052034 1096523 1578051 1711518 2193046 2567277 3059957 3156102 3289569 5134554 6119914 6579138 9179871 9868707 18359742 19111951 19737414 27539613 38223902 55079226 57335853 73467041 114671706 119521007 146934082 172007559 220401123 239042014 344015118 358563021 440802246 661203369 717126042 1075689063 1322406738 2151378126 8007907469 16015814938 24023722407 48047444814 72071167221 144142334442