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4140974544 = 2437311792221
BaseRepresentation
bin1111011011010010…
…0100000111010000
3101200120222022011120
43312310210013100
531440042141134
61522523242240
7204421463040
oct36664440720
911616868146
104140974544
111835521513
12976979380
1350cbb04c5
142b3d6d720
15193820649
hexf6d241d0

4140974544 has 160 divisors (see below), whose sum is σ = 12696330240. Its totient is φ = 1138060800.

The previous prime is 4140974543. The next prime is 4140974561. The reversal of 4140974544 is 4454790414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4140974496 and 4140974505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140974543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863354 + ... + 1865574.

It is an arithmetic number, because the mean of its divisors is an integer number (79352064).

Almost surely, 24140974544 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 4140974544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348165120).

4140974544 is an abundant number, since it is smaller than the sum of its proper divisors (8555355696).

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

4140974544 is a wasteful number, since it uses less digits than its factorization.

4140974544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4140974544 is about 64350.4043810138. The cubic root of 4140974544 is about 1605.8347568101.

The spelling of 4140974544 in words is "four billion, one hundred forty million, nine hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 179 186 217 248 336 358 372 434 496 537 651 716 744 868 1074 1253 1302 1432 1488 1736 2148 2221 2506 2604 2864 3472 3759 4296 4442 5012 5208 5549 6663 7518 8592 8884 10024 10416 11098 13326 15036 15547 16647 17768 20048 22196 26652 30072 31094 33294 35536 38843 44392 46641 53304 60144 62188 66588 68851 77686 88784 93282 106608 116529 124376 133176 137702 155372 186564 206553 233058 248752 266352 275404 310744 373128 397559 413106 466116 481957 550808 621488 746256 795118 826212 932232 963914 1101616 1192677 1445871 1590236 1652424 1864464 1927828 2385354 2782913 2891742 3180472 3304848 3855656 4770708 5565826 5783484 6360944 7711312 8348739 9541416 11131652 11566968 12324329 16697478 19082832 22263304 23133936 24648658 33394956 36972987 44526608 49297316 66789912 73945974 86270303 98594632 133579824 147891948 172540606 197189264 258810909 295783896 345081212 517621818 591567792 690162424 1035243636 1380324848 2070487272 4140974544