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242004341040 = 243571113095473
BaseRepresentation
bin1110000101100010010…
…1010011000100110000
3212010122200212022000020
43201120211103010300
512431111102403130
6303101504523440
723325043646460
oct3413045230460
9763580768006
10242004341040
11936a7161340
123aa9a920580
1319a89708947
14b9da957ba0
156465dc9e10
hex3858953130

242004341040 has 160 divisors (see below), whose sum is σ = 935331134976. Its totient is φ = 50286612480.

The previous prime is 242004341021. The next prime is 242004341071. The reversal of 242004341040 is 40143400242.

It is a happy number.

It is a super-2 number, since 2×2420043410402 (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 242004341040.

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, 6529257 + ... + 6566216.

Almost surely, 2242004341040 is an apocalyptic number.

242004341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242004341040 is an abundant number, since it is smaller than the sum of its proper divisors (693326793936).

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

242004341040 is a wasteful number, since it uses less digits than its factorization.

242004341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095507 (or 13095501 counting only the distinct ones).

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

Adding to 242004341040 its reverse (40143400242), we get a palindrome (282147741282).

The spelling of 242004341040 in words is "two hundred forty-two billion, four million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 13095473 26190946 39286419 52381892 65477365 78572838 91668311 104763784 130954730 144050203 157145676 183336622 196432095 209527568 261909460 275004933 288100406 314291352 366673244 392864190 432150609 458341555 523818920 550009866 576200812 628582704 720251015 733346488 785728380 864301218 916683110 1008351421 1047637840 1100019732 1152401624 1375024665 1440502030 1466692976 1571456760 1728602436 1833366220 2016702842 2160753045 2200039464 2304803248 2750049330 2881004060 3025054263 3142913520 3457204872 3666732440 4033405684 4321506090 4400078928 5041757105 5500098660 5762008120 6050108526 6914409744 7333464880 8066811368 8643012180 10083514210 11000197320 11524016240 12100217052 15125271315 16133622736 17286024360 20167028420 22000394640 24200434104 30250542630 34572048720 40334056840 48400868208 60501085260 80668113680 121002170520 242004341040