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4141034240 = 2857601769
BaseRepresentation
bin1111011011010011…
…0010101100000000
3101200121002100001112
43312310302230000
531440101043430
61522524422452
7204422132060
oct36664625400
911617070045
104141034240
111835562352
129769a7a28
1350cc01725
142b3d873a0
15193833195
hexf6d32b00

4141034240 has 144 divisors (see below), whose sum is σ = 11369709120. Its totient is φ = 1415577600.

The previous prime is 4141034231. The next prime is 4141034299. The reversal of 4141034240 is 424301414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384576 + ... + 5385344.

Almost surely, 24141034240 is an apocalyptic number.

4141034240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684854560).

4141034240 is an abundant number, since it is smaller than the sum of its proper divisors (7228674880).

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

4141034240 is an equidigital number, since it uses as much as digits as its factorization.

4141034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4141034240 is about 64350.8682148112. The cubic root of 4141034240 is about 1605.8424733069.

Adding to 4141034240 its reverse (424301414), we get a palindrome (4565335654).

The spelling of 4141034240 in words is "four billion, one hundred forty-one million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 601 640 769 896 1120 1202 1280 1538 1792 2240 2404 3005 3076 3845 4207 4480 4808 5383 6010 6152 7690 8414 8960 9616 10766 12020 12304 15380 16828 19232 21035 21532 24040 24608 26915 30760 33656 38464 42070 43064 48080 49216 53830 61520 67312 76928 84140 86128 96160 98432 107660 123040 134624 153856 168280 172256 192320 196864 215320 246080 269248 336560 344512 384640 430640 462169 492160 538496 673120 689024 769280 861280 924338 984320 1076992 1346240 1378048 1722560 1848676 2310845 2692480 3235183 3445120 3697352 4621690 5384960 6470366 6890240 7394704 9243380 12940732 14789408 16175915 18486760 25881464 29578816 32351830 36973520 51762928 59157632 64703660 73947040 103525856 118315264 129407320 147894080 207051712 258814640 295788160 414103424 517629280 591576320 828206848 1035258560 2070517120 4141034240