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4241202040 = 2351953711483
BaseRepresentation
bin1111110011001011…
…1001101101111000
3101221120120101110001
43330302321231320
532141221431130
61540503402344
7210046423345
oct37462715570
911846511401
104241202040
111887058959
129a44533b4
135278a370a
142c33bd7cc
1519c51c6ca
hexfccb9b78

4241202040 has 128 divisors (see below), whose sum is σ = 10385625600. Its totient is φ = 1553610240.

The previous prime is 4241202013. The next prime is 4241202127. The reversal of 4241202040 is 402021424.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 4241201999 and 4241202017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859139 + ... + 2860621.

It is an arithmetic number, because the mean of its divisors is an integer number (81137700).

Almost surely, 24241202040 is an apocalyptic number.

4241202040 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 4241202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192812800).

4241202040 is an abundant number, since it is smaller than the sum of its proper divisors (6144423560).

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

4241202040 is a wasteful number, since it uses less digits than its factorization.

4241202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4241202040 is about 65124.5118215868. The cubic root of 4241202040 is about 1618.6874039688.

Adding to 4241202040 its reverse (402021424), we get a palindrome (4643223464).

The spelling of 4241202040 in words is "four billion, two hundred forty-one million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 71 76 95 106 142 152 190 212 265 284 355 380 424 530 568 710 760 1007 1060 1349 1420 1483 2014 2120 2698 2840 2966 3763 4028 5035 5396 5932 6745 7415 7526 8056 10070 10792 11864 13490 14830 15052 18815 20140 26980 28177 29660 30104 37630 40280 53960 56354 59320 71497 75260 78599 105293 112708 140885 142994 150520 157198 210586 225416 281770 285988 314396 357485 392995 421172 526465 563540 571976 628792 714970 785990 842344 1052930 1127080 1429940 1493381 1571980 2000567 2105860 2859880 2986762 3143960 4001134 4211720 5580529 5973524 7466905 8002268 10002835 11161058 11947048 14933810 16004536 20005670 22322116 27902645 29867620 40011340 44644232 55805290 59735240 80022680 106030051 111610580 212060102 223221160 424120204 530150255 848240408 1060300510 2120601020 4241202040