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144243402134244 = 22374198095065871
BaseRepresentation
bin100000110011000001001000…
…101111101101001011100100
3200220201112102200222210100020
4200303001020233231023210
5122401240441421243434
61230440300521315140
742245145654223560
oct4063011057551344
9626645380883306
10144243402134244
1141a623130a5946
1214217407635ab0
13626412c69cc2a
1427895bca806a0
1511a217de2c849
hex833048bed2e4

144243402134244 has 96 divisors (see below), whose sum is σ = 386043762585600. Its totient is φ = 41063212734720.

The previous prime is 144243402134239. The next prime is 144243402134257. The reversal of 144243402134244 is 442431204342441.

It is a super-2 number, since 2×1442434021342442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144243402134196 and 144243402134205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25940629 + ... + 31006499.

It is an arithmetic number, because the mean of its divisors is an integer number (4021289193600).

Almost surely, 2144243402134244 is an apocalyptic number.

144243402134244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144243402134244 is an abundant number, since it is smaller than the sum of its proper divisors (241800360451356).

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

144243402134244 is a wasteful number, since it uses less digits than its factorization.

144243402134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067113 (or 5067111 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 144243402134244 its reverse (442431204342441), we get a palindrome (586674606476685).

The spelling of 144243402134244 in words is "one hundred forty-four trillion, two hundred forty-three billion, four hundred two million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 419 809 838 1257 1618 1676 2427 2514 2933 3236 4854 5028 5663 5866 8799 9708 11326 11732 16989 17598 22652 33978 35196 67956 338971 677942 1016913 1355884 2033826 2372797 4067652 4745594 5065871 7118391 9491188 10131742 14236782 15197613 20263484 28473564 30395226 35461097 60790452 70922194 106383291 141844388 212766582 425533164 2122599949 4098289639 4245199898 6367799847 8196579278 8490399796 12294868917 12735599694 14858199643 16393158556 24589737834 25471199388 28688027473 29716399286 44574598929 49179475668 57376054946 59432798572 86064082419 89149197858 114752109892 172128164838 178298395716 344256329676 1717183358741 3434366717482 5151550076223 6868733434964 10303100152446 12020283511187 20606200304892 24040567022374 36060850533561 48081134044748 72121701067122 144243402134244