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244004312040 = 233531409160373
BaseRepresentation
bin1110001100111111001…
…0100101001111101000
3212022211002011100110020
43203033302211033220
512444210100441130
6304032151120440
723425440300636
oct3431762451750
9768732140406
10244004312040
1194533089135
123b358673120
131a017b72a38
14bb4a406356
156531783e10
hex38cfca53e8

244004312040 has 128 divisors (see below), whose sum is σ = 757478476800. Its totient is φ = 62814504960.

The previous prime is 244004312039. The next prime is 244004312051. The reversal of 244004312040 is 40213400442.

It is a happy number.

It is a super-2 number, since 2×2440043120402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244004312040.

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, 1441294 + ... + 1601666.

It is an arithmetic number, because the mean of its divisors is an integer number (5917800600).

Almost surely, 2244004312040 is an apocalyptic number.

244004312040 is a gapful number since it is divisible by the number (20) 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 244004312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378739238400).

244004312040 is an abundant number, since it is smaller than the sum of its proper divisors (513474164760).

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

244004312040 is a wasteful number, since it uses less digits than its factorization.

244004312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160827 (or 160823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 244004312040 its reverse (40213400442), we get a palindrome (284217712482).

The spelling of 244004312040 in words is "two hundred forty-four billion, four million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 409 465 620 744 818 930 1227 1240 1636 1860 2045 2454 3272 3720 4090 4908 6135 8180 9816 12270 12679 16360 24540 25358 38037 49080 50716 63395 76074 101432 126790 152148 160373 190185 253580 304296 320746 380370 481119 507160 641492 760740 801865 962238 1282984 1521480 1603730 1924476 2405595 3207460 3848952 4811190 4971563 6414920 9622380 9943126 14914689 19244760 19886252 24857815 29829378 39772504 49715630 59658756 65592557 74573445 99431260 119317512 131185114 149146890 196777671 198862520 262370228 298293780 327962785 393555342 524740456 596587560 655925570 787110684 983888355 1311851140 1574221368 1967776710 2033369267 2623702280 3935553420 4066738534 6100107801 7871106840 8133477068 10166846335 12200215602 16266954136 20333692670 24400431204 30500539005 40667385340 48800862408 61001078010 81334770680 122002156020 244004312040