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4103030040 = 23351312111237
BaseRepresentation
bin1111010010001111…
…0100010100011000
3101120221120112002120
43310203310110120
531400333430130
61515050101240
7203451115464
oct36443642430
911527515076
104103030040
11181606521a
1296611a820
13505086435
142accd34a4
15190327910
hexf48f4518

4103030040 has 128 divisors (see below), whose sum is σ = 12471909120. Its totient is φ = 1079769600.

The previous prime is 4103030003. The next prime is 4103030059. The reversal of 4103030040 is 400303014.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3316302 + ... + 3317538.

It is an arithmetic number, because the mean of its divisors is an integer number (97436790).

Almost surely, 24103030040 is an apocalyptic number.

4103030040 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 4103030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235954560).

4103030040 is an abundant number, since it is smaller than the sum of its proper divisors (8368879080).

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

4103030040 is a wasteful number, since it uses less digits than its factorization.

4103030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4103030040 is about 64054.8986417120. The cubic root of 4103030040 is about 1600.9148466018.

Adding to 4103030040 its reverse (400303014), we get a palindrome (4503333054).

The spelling of 4103030040 in words is "four billion, one hundred three million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 211 262 393 422 524 633 655 786 844 1048 1055 1237 1266 1310 1572 1688 1965 2110 2474 2532 2620 3144 3165 3711 3930 4220 4948 5064 5240 6185 6330 7422 7860 8440 9896 12370 12660 14844 15720 18555 24740 25320 27641 29688 37110 49480 55282 74220 82923 110564 138205 148440 162047 165846 221128 261007 276410 324094 331692 414615 486141 522014 552820 648188 663384 783021 810235 829230 972282 1044028 1105640 1296376 1305035 1566042 1620470 1658460 1944564 2088056 2430705 2610070 3132084 3240940 3316920 3889128 3915105 4861410 5220140 6264168 6481880 7830210 9722820 10440280 15660420 19445640 31320840 34191917 68383834 102575751 136767668 170959585 205151502 273535336 341919170 410303004 512878755 683838340 820606008 1025757510 1367676680 2051515020 4103030040