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145355144424 = 23372345238317
BaseRepresentation
bin1000011101011111010…
…1110111110011101000
3111220012001100101212120
42013113311313303220
54340141404110144
6150435241111240
713334015225160
oct2072765676350
9456161311776
10145355144424
115671020a436
1224207188520
13109261884c9
14706c9395a0
153baae2ae19
hex21d7d77ce8

145355144424 has 128 divisors (see below), whose sum is σ = 433504880640. Its totient is φ = 39710829312.

The previous prime is 145355144419. The next prime is 145355144443. The reversal of 145355144424 is 424441553541.

It is a super-2 number, since 2×1453551444242 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17472714 + ... + 17481030.

It is an arithmetic number, because the mean of its divisors is an integer number (3386756880).

Almost surely, 2145355144424 is an apocalyptic number.

145355144424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145355144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216752440320).

145355144424 is an abundant number, since it is smaller than the sum of its proper divisors (288149736216).

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

145355144424 is a wasteful number, since it uses less digits than its factorization.

145355144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12879 (or 12875 counting only the distinct ones).

The product of its digits is 768000, while the sum is 42.

Adding to 145355144424 its reverse (424441553541), we get a palindrome (569796697965).

The spelling of 145355144424 in words is "one hundred forty-five billion, three hundred fifty-five million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 4523 8317 9046 13569 16634 18092 24951 27138 31661 33268 36184 49902 54276 58219 63322 66536 94983 99804 104029 108552 116438 126644 174657 189966 191291 199608 208058 232876 253288 312087 349314 379932 382582 416116 465752 573873 624174 698628 728203 759864 765164 832232 1147746 1248348 1339037 1397256 1456406 1530328 2184609 2295492 2496696 2678074 2912812 4017111 4369218 4590984 5356148 5825624 8034222 8738436 10712296 16068444 17476872 32136888 37617791 75235582 112853373 150471164 225706746 263324537 300942328 451413492 526649074 789973611 865209193 902826984 1053298148 1579947222 1730418386 2106596296 2595627579 3159894444 3460836772 5191255158 6056464351 6319788888 6921673544 10382510316 12112928702 18169393053 20765020632 24225857404 36338786106 48451714808 72677572212 145355144424