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4101312440 = 2351791912999
BaseRepresentation
bin1111010001110101…
…0000111110111000
3101120211100020222202
43310131100332320
531344413444230
61514545205332
7203430403061
oct36435207670
911524306882
104101312440
1118150a1815
12965630848
135049046c4
142ac9a7568
151900d8a45
hexf4750fb8

4101312440 has 64 divisors (see below), whose sum is σ = 9331200000. Its totient is φ = 1622277760.

The previous prime is 4101312433. The next prime is 4101312503. The reversal of 4101312440 is 442131014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 1366061 + ... + 1369059.

It is an arithmetic number, because the mean of its divisors is an integer number (145800000).

Almost surely, 24101312440 is an apocalyptic number.

4101312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101312440 is an abundant number, since it is smaller than the sum of its proper divisors (5229887560).

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

4101312440 is a wasteful number, since it uses less digits than its factorization.

4101312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4101312440 is about 64041.4899889127. The cubic root of 4101312440 is about 1600.6914251224.

Adding to 4101312440 its reverse (442131014), we get a palindrome (4543443454).

The spelling of 4101312440 in words is "four billion, one hundred one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 179 191 358 382 716 764 895 955 1432 1528 1790 1910 2999 3580 3820 5998 7160 7640 11996 14995 23992 29990 34189 59980 68378 119960 136756 170945 273512 341890 536821 572809 683780 1073642 1145618 1367560 2147284 2291236 2684105 2864045 4294568 4582472 5368210 5728090 10736420 11456180 21472840 22912360 102532811 205065622 410131244 512664055 820262488 1025328110 2050656220 4101312440