Search a number
-
+
3104244312040 = 235374783537673
BaseRepresentation
bin101101001011000011011…
…000010010011111101000
3101222202121010100000021001
4231023003120102133220
5401324443020441130
610334023052524344
7440163032201134
oct55130330223750
911882533300231
103104244312040
11a97558a94283
124217591806b4
13196962761791
14aa3639063c4
1555b363b26ca
hex2d2c36127e8

3104244312040 has 128 divisors (see below), whose sum is σ = 7414223362560. Its totient is φ = 1168184899584.

The previous prime is 3104244312031. The next prime is 3104244312049. The reversal of 3104244312040 is 402134424013.

It is an interprime number because it is at equal distance from previous prime (3104244312031) and next prime (3104244312049).

It is not an unprimeable number, because it can be changed into a prime (3104244312049) 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, 5504644 + ... + 6042316.

It is an arithmetic number, because the mean of its divisors is an integer number (57923620020).

Almost surely, 23104244312040 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 3104244312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707111681280).

3104244312040 is an abundant number, since it is smaller than the sum of its proper divisors (4309979050520).

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

3104244312040 is a wasteful number, since it uses less digits than its factorization.

3104244312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537851 (or 537847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3104244312040 its reverse (402134424013), we get a palindrome (3506378736053).

The spelling of 3104244312040 in words is "three trillion, one hundred four billion, two hundred forty-four million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 83 94 148 166 185 188 235 296 332 370 376 415 470 664 740 830 940 1480 1660 1739 1880 3071 3320 3478 3901 6142 6956 7802 8695 12284 13912 15355 15604 17390 19505 24568 30710 31208 34780 39010 61420 69560 78020 122840 144337 156040 288674 537673 577348 721685 1075346 1154696 1443370 2150692 2688365 2886740 4301384 5376730 5773480 10753460 19893901 21506920 25270631 39787802 44626859 50541262 79575604 89253718 99469505 101082524 126353155 159151208 178507436 198939010 202165048 223134295 252706310 357014872 397878020 446268590 505412620 795756040 892537180 935013347 1010825240 1651193783 1785074360 1870026694 2097462373 3302387566 3740053388 4194924746 4675066735 6604775132 7480106776 8255968915 8389849492 9350133470 10487311865 13209550264 16511937830 16779698984 18700266940 20974623730 33023875660 37400533880 41949247460 66047751320 77606107801 83898494920 155212215602 310424431204 388030539005 620848862408 776061078010 1552122156020 3104244312040