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7141938944 = 28724311321
BaseRepresentation
bin1101010011011000…
…10101011100000000
3200102201211002102012
412221230111130000
5104111314021234
63140404312052
7341661323300
oct65154253400
920381732365
107141938944
113035490488
1214739a2628
1389a84199a
144ba747600
152bc0050ce
hex1a9b15700

7141938944 has 108 divisors (see below), whose sum is σ = 16634546208. Its totient is φ = 3051417600.

The previous prime is 7141938913. The next prime is 7141938961. The reversal of 7141938944 is 4498391417.

It is a junction number, because it is equal to n+sod(n) for n = 7141938892 and 7141938901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5405804 + ... + 5407124.

It is an arithmetic number, because the mean of its divisors is an integer number (154023576).

Almost surely, 27141938944 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 7141938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317273104).

7141938944 is an abundant number, since it is smaller than the sum of its proper divisors (9492607264).

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

7141938944 is a wasteful number, since it uses less digits than its factorization.

7141938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1761 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 7141938944 is about 84509.9931605724. The cubic root of 7141938944 is about 1925.7742604413.

The spelling of 7141938944 in words is "seven billion, one hundred forty-one million, nine hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 431 448 784 862 896 1321 1568 1724 1792 2642 3017 3136 3448 5284 6034 6272 6896 9247 10568 12068 12544 13792 18494 21119 21136 24136 27584 36988 42238 42272 48272 55168 64729 73976 84476 84544 96544 110336 129458 147952 168952 169088 193088 258916 295904 337904 338176 386176 517832 569351 591808 675808 772352 1035664 1138702 1183616 1351616 2071328 2277404 2367232 2703232 3985457 4142656 4554808 5406464 7970914 8285312 9109616 15941828 16570624 18219232 27898199 31883656 36438464 55796398 63767312 72876928 111592796 127534624 145753856 223185592 255069248 446371184 510138496 892742368 1020276992 1785484736 3570969472 7141938944