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5445461340 = 223251110392647
BaseRepresentation
bin1010001001001001…
…10010010101011100
3112001111121002122100
411010210302111130
542123014230330
62300203045100
7251641441404
oct50444622534
915044532570
105445461340
112344903780
12107b810790
1368a229797
143992db804
1521d0ea060
hex14493255c

5445461340 has 144 divisors (see below), whose sum is σ = 18043683840. Its totient is φ = 1318343040.

The previous prime is 5445461293. The next prime is 5445461363. The reversal of 5445461340 is 431645445.

5445461340 is a `hidden beast` number, since 544 + 54 + 61 + 3 + 4 + 0 = 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 = 5445461295 and 5445461304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2055897 + ... + 2058543.

It is an arithmetic number, because the mean of its divisors is an integer number (125303360).

Almost surely, 25445461340 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 5445461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021841920).

5445461340 is an abundant number, since it is smaller than the sum of its proper divisors (12598222500).

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

5445461340 is a wasteful number, since it uses less digits than its factorization.

5445461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5445461340 is about 73793.3692143136. The cubic root of 5445461340 is about 1759.3202156929.

The spelling of 5445461340 in words is "five billion, four hundred forty-five million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1039 1980 2078 2647 3117 4156 5195 5294 6234 7941 9351 10390 10588 11429 12468 13235 15585 15882 18702 20780 22858 23823 26470 29117 31170 31764 34287 37404 39705 45716 46755 47646 52940 57145 58234 62340 68574 79410 87351 93510 95292 102861 114290 116468 119115 137148 145585 158820 171435 174702 187020 205722 228580 238230 262053 291170 342870 349404 411444 436755 476460 514305 524106 582340 685740 873510 1028610 1048212 1310265 1747020 2057220 2620530 2750233 5241060 5500466 8250699 11000932 13751165 16501398 24752097 27502330 30252563 33002796 41253495 49504194 55004660 60505126 82506990 90757689 99008388 121010252 123760485 151262815 165013980 181515378 247520970 272273067 302525630 363030756 453788445 495041940 544546134 605051260 907576890 1089092268 1361365335 1815153780 2722730670 5445461340