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5416040241540 = 2234533110100407
BaseRepresentation
bin100111011010000010100…
…1001111001100110000100
3201011202202011020012020000
41032310011021321212010
51202214022300212130
615304032230441300
71066203345315555
oct116640511714604
921152664205200
105416040241540
1117a8a2557a825
127357b8b03230
13303965908296
1414a1cdd9432c
1595d3c40e260
hex4ed05279984

5416040241540 has 120 divisors (see below), whose sum is σ = 17041650787392. Its totient is φ = 1439913879360.

The previous prime is 5416040241457. The next prime is 5416040241553. The reversal of 5416040241540 is 451420406145.

5416040241540 is a `hidden beast` number, since 5 + 4 + 1 + 604 + 0 + 2 + 4 + 1 + 5 + 40 = 666.

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 = 5416040241495 and 5416040241504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4513984 + ... + 5586423.

Almost surely, 25416040241540 is an apocalyptic number.

It is an amenable number.

5416040241540 is an abundant number, since it is smaller than the sum of its proper divisors (11625610545852).

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

5416040241540 is a wasteful number, since it uses less digits than its factorization.

5416040241540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100759 (or 10100748 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5416040241540 its reverse (451420406145), we get a palindrome (5867460647685).

The spelling of 5416040241540 in words is "five trillion, four hundred sixteen billion, forty million, two hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 331 405 540 662 810 993 1324 1620 1655 1986 2979 3310 3972 4965 5958 6620 8937 9930 11916 14895 17874 19860 26811 29790 35748 44685 53622 59580 89370 107244 134055 178740 268110 536220 10100407 20200814 30301221 40401628 50502035 60602442 90903663 101004070 121204884 151506105 181807326 202008140 272710989 303012210 363614652 454518315 545421978 606024420 818132967 909036630 1090843956 1363554945 1636265934 1818073260 2727109890 3272531868 3343234717 4090664835 5454219780 6686469434 8181329670 10029704151 13372938868 16362659340 16716173585 20059408302 30089112453 33432347170 40118816604 50148520755 60178224906 66864694340 90267337359 100297041510 120356449812 150445562265 180534674718 200594083020 270802012077 300891124530 361069349436 451336686795 541604024154 601782249060 902673373590 1083208048308 1354010060385 1805346747180 2708020120770 5416040241540