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1004232243120 = 243523563323137
BaseRepresentation
bin11101001110100001110…
…01111111011110110000
310120000002200010122121020
432213100321333132300
5112423131423234440
62045200554055440
7132360545140161
oct16472071773660
93500080118536
101004232243120
1135798aa14887
1214276341a580
1373911053502
1436868573768
151b1c80b43d0
hexe9d0e7f7b0

1004232243120 has 160 divisors (see below), whose sum is σ = 3254253000192. Its totient is φ = 255696224256.

The previous prime is 1004232243101. The next prime is 1004232243121. The reversal of 1004232243120 is 213422324001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1004232243121) 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, 2946192 + ... + 3269328.

Almost surely, 21004232243120 is an apocalyptic number.

1004232243120 is a gapful number since it is divisible by the number (10) 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 1004232243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627126500096).

1004232243120 is an abundant number, since it is smaller than the sum of its proper divisors (2250020757072).

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

1004232243120 is a wasteful number, since it uses less digits than its factorization.

1004232243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323739 (or 323733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1004232243120 its reverse (213422324001), we get a palindrome (1217654567121).

The spelling of 1004232243120 in words is "one trillion, four billion, two hundred thirty-two million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 563 690 920 1104 1126 1380 1689 1840 2252 2760 2815 3378 4504 5520 5630 6756 8445 9008 11260 12949 13512 16890 22520 25898 27024 33780 38847 45040 51796 64745 67560 77694 103592 129490 135120 155388 194235 207184 258980 310776 323137 388470 517960 621552 646274 776940 969411 1035920 1292548 1553880 1615685 1938822 2585096 3107760 3231370 3877644 4847055 5170192 6462740 7432151 7755288 9694110 12925480 14864302 15510576 19388220 22296453 25850960 29728604 37160755 38776440 44592906 59457208 74321510 77552880 89185812 111482265 118914416 148643020 178371624 181926131 222964530 297286040 356743248 363852262 445929060 545778393 594572080 727704524 891858120 909630655 1091556786 1455409048 1783716240 1819261310 2183113572 2728891965 2910818096 3638522620 4184301013 4366227144 5457783930 7277045240 8368602026 8732454288 10915567860 12552903039 14554090480 16737204052 20921505065 21831135720 25105806078 33474408104 41843010130 43662271440 50211612156 62764515195 66948816208 83686020260 100423224312 125529030390 167372040520 200846448624 251058060780 334744081040 502116121560 1004232243120