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2254542411440 = 245113954164793
BaseRepresentation
bin100000110011101101001…
…100110001011010110000
321222112100221022010011002
4200303231030301122300
5243414300324131230
64443420020141132
7321612443205614
oct40635514613260
97875327263132
102254542411440
1179a167462a80
12304b418377a8
131347aa729087
147b19868b344
153d9a49b1545
hex20ced3316b0

2254542411440 has 80 divisors (see below), whose sum is σ = 5718572264736. Its totient is φ = 819800217600.

The previous prime is 2254542411421. The next prime is 2254542411463. The reversal of 2254542411440 is 441142454522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22545424114402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2254542411394 and 2254542411403.

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 15 ways as a sum of consecutive naturals, for example, 34763684 + ... + 34828476.

Almost surely, 22254542411440 is an apocalyptic number.

2254542411440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254542411440 is an abundant number, since it is smaller than the sum of its proper divisors (3464029853296).

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

2254542411440 is a wasteful number, since it uses less digits than its factorization.

2254542411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104358 (or 104352 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

Adding to 2254542411440 its reverse (441142454522), we get a palindrome (2695684865962).

The spelling of 2254542411440 in words is "two trillion, two hundred fifty-four billion, five hundred forty-two million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 39541 64793 79082 129586 158164 197705 259172 316328 323965 395410 434951 518344 632656 647930 712723 790820 869902 1036688 1295860 1425446 1581640 1739804 2174755 2591720 2850892 3163280 3479608 3563615 4349510 5183440 5701784 6959216 7127230 8699020 11403568 14254460 17398040 28508920 34796080 57017840 2561980013 5123960026 10247920052 12809900065 20495840104 25619800130 28181780143 40991680208 51239600260 56363560286 102479200520 112727120572 140908900715 204958401040 225454241144 281817801430 450908482288 563635602860 1127271205720 2254542411440