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2144352052464 = 243537134734213
BaseRepresentation
bin11111001101000101010…
…101111010010011110000
321120222221120200220100120
4133031011111322103300
5240113113111134324
64321033550250240
7310632020463666
oct37150525722360
97528846626316
102144352052464
117574619153a6
122a770b1b6980
1312729996c22b
1475b040b4c36
153aba5d16179
hex1f34557a4f0

2144352052464 has 160 divisors (see below), whose sum is σ = 5740253028864. Its totient is φ = 689407380480.

The previous prime is 2144352052463. The next prime is 2144352052483. The reversal of 2144352052464 is 4642502534412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144352052463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62659422 + ... + 62693634.

Almost surely, 22144352052464 is an apocalyptic number.

2144352052464 is a gapful number since it is divisible by the number (24) 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 2144352052464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870126514432).

2144352052464 is an abundant number, since it is smaller than the sum of its proper divisors (3595900976400).

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

2144352052464 is a wasteful number, since it uses less digits than its factorization.

2144352052464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34695 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 2144352052464 its reverse (4642502534412), we get a palindrome (6786854586876).

The spelling of 2144352052464 in words is "two trillion, one hundred forty-four billion, three hundred fifty-two million, fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 71 106 142 159 212 213 284 318 347 424 426 568 636 694 848 852 1041 1136 1272 1388 1704 2082 2544 2776 3408 3763 4164 5552 7526 8328 11289 15052 16656 18391 22578 24637 30104 34213 36782 45156 49274 55173 60208 68426 73564 73911 90312 98548 102639 110346 136852 147128 147822 180624 197096 205278 220692 273704 294256 295644 394192 410556 441384 547408 591288 821112 882768 1182576 1305761 1642224 1813289 2429123 2611522 3626578 3917283 4858246 5223044 5439867 7253156 7287369 7834566 9716492 10446088 10879734 11871911 14506312 14574738 15669132 19432984 20892176 21759468 23743822 29012624 29149476 31338264 35615733 38865968 43518936 47487644 58298952 62676528 71231466 87037872 94975288 116597904 128743519 142462932 189950576 257487038 284925864 386230557 514974076 569851728 629211283 772461114 842905681 1029948152 1258422566 1544922228 1685811362 1887633849 2059896304 2516845132 2528717043 3089844456 3371622724 3775267698 5033690264 5057434086 6179688912 6743245448 7550535396 10067380528 10114868172 13486490896 15101070792 20229736344 30202141584 40459472688 44674001093 89348002186 134022003279 178696004372 268044006558 357392008744 536088013116 714784017488 1072176026232 2144352052464