Search a number
-
+
2414140323444 = 2234139233230063
BaseRepresentation
bin100011001000010101111…
…110011111011001110100
322112210022120221002010000
4203020111332133121310
5304023124410322234
65045012445231300
7336262435112613
oct43102576373164
98483276832100
102414140323444
11850916304503
1232ba62862530
131468635a2bb5
1484bb8a1587a
1542be5ec6899
hex23215f9f674

2414140323444 has 120 divisors (see below), whose sum is σ = 6383751454080. Its totient is φ = 795491819136.

The previous prime is 2414140323407. The next prime is 2414140323487. The reversal of 2414140323444 is 4443230414142.

2414140323444 is a `hidden beast` number, since 2 + 4 + 1 + 414 + 0 + 3 + 234 + 4 + 4 = 666.

It is a super-2 number, since 2×24141403234442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2414140323399 and 2414140323408.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 10378357 + ... + 10608419.

It is an arithmetic number, because the mean of its divisors is an integer number (53197928784).

Almost surely, 22414140323444 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 2414140323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191875727040).

2414140323444 is an abundant number, since it is smaller than the sum of its proper divisors (3969611130636).

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

2414140323444 is a wasteful number, since it uses less digits than its factorization.

2414140323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230451 (or 230440 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2414140323444 its reverse (4443230414142), we get a palindrome (6857370737586).

The spelling of 2414140323444 in words is "two trillion, four hundred fourteen billion, one hundred forty million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 233 278 324 417 466 556 699 834 932 1251 1398 1668 2097 2502 2796 3753 4194 5004 6291 7506 8388 11259 12582 15012 18873 22518 25164 32387 37746 45036 64774 75492 97161 129548 194322 230063 291483 388644 460126 582966 690189 874449 920252 1165932 1380378 1748898 2070567 2623347 2760756 3497796 4141134 5246694 6211701 8282268 10493388 12423402 18635103 24846804 31978757 37270206 53604679 63957514 74540412 95936271 107209358 127915028 160814037 191872542 214418716 287808813 321628074 383745084 482442111 575617626 643256148 863426439 964884222 1151235252 1447326333 1726852878 1929768444 2590279317 2894652666 3453705756 4341978999 5180558634 5789305332 7451050381 8683957998 10361117268 14902100762 17367915996 22353151143 29804201524 44706302286 67059453429 89412604572 134118906858 201178360287 268237813716 402356720574 603535080861 804713441148 1207070161722 2414140323444