Search a number
-
+
111034462534144 = 294122733769143
BaseRepresentation
bin11001001111110000111001…
…101100100111101000000000
3112120010210100121022022222121
4121033300321230213220000
5104023142034402043034
61032052310010014024
732246655330133222
oct3117607154475000
9476123317268877
10111034462534144
11324194a6490066
1210553280a17314
1349c567431b626
141d5c14d348412
15cc83db7401b4
hex64fc39b27a00

111034462534144 has 160 divisors (see below), whose sum is σ = 228944898838656. Its totient is φ = 53763757178880.

The previous prime is 111034462534139. The next prime is 111034462534153. The reversal of 111034462534144 is 441435264430111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111034462534144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605832437 + ... + 1605901579.

Almost surely, 2111034462534144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111034462534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114472449419328).

111034462534144 is an abundant number, since it is smaller than the sum of its proper divisors (117910436304512).

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

111034462534144 is an equidigital number, since it uses as much as digits as its factorization.

111034462534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69766 (or 69750 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 111034462534144 in words is "one hundred eleven trillion, thirty-four billion, four hundred sixty-two million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 227 256 328 337 454 512 656 674 908 1312 1348 1816 2624 2696 3632 5248 5392 7264 9307 10496 10784 13817 14528 18614 20992 21568 27634 29056 37228 43136 55268 58112 69143 74456 76499 86272 110536 116224 138286 148912 152998 172544 221072 276572 297824 305996 442144 553144 595648 611992 884288 1106288 1191296 1223984 1768576 2212576 2382592 2447968 2834863 3136459 3537152 4425152 4765184 4895936 5669726 6272918 7074304 8850304 9791872 11339452 12545836 15695461 17700608 19583744 22678904 23301191 25091672 31390922 35401216 39167488 45357808 46602382 50183344 62781844 90715616 93204764 100366688 125563688 181431232 186409528 200733376 251127376 362862464 372819056 401466752 502254752 643513901 725724928 745638112 802933504 955348831 1004509504 1287027802 1451449856 1491276224 1605867008 1910697662 2009019008 2574055604 2982552448 3821395324 4018038016 5148111208 5289370357 5965104896 7642790648 8036076032 10296222416 10578740714 11930209792 15285581296 20592444832 21157481428 30571162592 41184889664 42314962856 61142325184 82369779328 84629925712 122284650368 164739558656 169259851424 216864184637 244569300736 329479117312 338519702848 433728369274 489138601472 677039405696 867456738548 1354078811392 1734913477096 2708157622784 3469826954192 6939653908384 13879307816768 27758615633536 55517231267072 111034462534144