Search a number
-
+
1144340434191 = 337435367107631
BaseRepresentation
bin10000101001110000000…
…000010100110100001111
311001101202001102012121010
4100221300000110310033
5122222102122343231
62233411442540303
7145450552125303
oct20516000246417
94041661365533
101144340434191
11401348384529
12165945367693
1383bac166396
143d55a2c5d03
151eb78557546
hex10a70014d0f

1144340434191 has 128 divisors (see below), whose sum is σ = 1676253782016. Its totient is φ = 693067415040.

The previous prime is 1144340434141. The next prime is 1144340434241. The reversal of 1144340434191 is 1914340434411.

It is an interprime number because it is at equal distance from previous prime (1144340434141) and next prime (1144340434241).

It is not a de Polignac number, because 1144340434191 - 29 = 1144340433679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144340434141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1813534446 + ... + 1813535076.

It is an arithmetic number, because the mean of its divisors is an integer number (13095732672).

Almost surely, 21144340434191 is an apocalyptic number.

1144340434191 is a deficient number, since it is larger than the sum of its proper divisors (531913347825).

1144340434191 is a wasteful number, since it uses less digits than its factorization.

1144340434191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1144340434191 in words is "one trillion, one hundred forty-four billion, three hundred forty million, four hundred thirty-four thousand, one hundred ninety-one".

Divisors: 1 3 37 43 53 67 107 111 129 159 201 321 631 1591 1893 1961 2279 2479 2881 3551 3959 4601 4773 5671 5883 6837 7169 7437 8643 10653 11877 13803 17013 21507 23347 27133 33443 42277 67517 70041 81399 84323 100329 106597 126831 131387 152693 170237 202551 209827 243853 252969 265253 308267 319791 379957 394161 458079 510711 629481 731559 795759 924801 1003921 1139871 1237391 1438049 1564249 1817911 2240681 2498129 2903231 3011763 3578401 3712173 4314147 4523639 4692747 5453733 5649641 6722043 7494387 8709693 9022561 10735203 11405879 13570917 14058409 16338151 16948923 27067683 34217637 42175227 49014453 53207813 67262707 82905197 96349283 107419547 132400837 153871243 159623439 167374643 194516477 201788121 239752867 248715591 289047849 322258641 397202511 461613729 502123929 583549431 604511587 719258601 1813534761 3564923471 5693235991 7197109649 8870856079 10309373281 10694770413 17079707973 21591328947 26612568237 30928119843 381446811397 1144340434191