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1378430496 = 2532411071091
BaseRepresentation
bin101001000101001…
…0010111000100000
310120001202112011100
41102022102320200
510310334233441
6344440314400
746105315542
oct12212227040
93501675140
101378430496
116480a7263
12325772a00
1318c768b61
14d10d9692
1581033cb6
hex52292e20

1378430496 has 144 divisors (see below), whose sum is σ = 4056762528. Its totient is φ = 443673600.

The previous prime is 1378430479. The next prime is 1378430561. The reversal of 1378430496 is 6940348731.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262911 + ... + 1264001.

It is an arithmetic number, because the mean of its divisors is an integer number (28171962).

Almost surely, 21378430496 is an apocalyptic number.

1378430496 is a gapful number since it is divisible by the number (16) 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 1378430496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028381264).

1378430496 is an abundant number, since it is smaller than the sum of its proper divisors (2678332032).

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

1378430496 is a wasteful number, since it uses less digits than its factorization.

1378430496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1378430496 is about 37127.2204184477. The cubic root of 1378430496 is about 1112.9140475565.

The spelling of 1378430496 in words is "one billion, three hundred seventy-eight million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 107 123 144 164 214 246 288 321 328 369 428 492 642 656 738 856 963 984 1091 1284 1312 1476 1712 1926 1968 2182 2568 2952 3273 3424 3852 3936 4364 4387 5136 5904 6546 7704 8728 8774 9819 10272 11808 13092 13161 15408 17456 17548 19638 26184 26322 30816 34912 35096 39276 39483 44731 52368 52644 70192 78552 78966 89462 104736 105288 116737 134193 140384 157104 157932 178924 210576 233474 268386 314208 315864 350211 357848 402579 421152 466948 536772 631728 700422 715696 805158 933896 1050633 1073544 1263456 1400844 1431392 1610316 1867792 2101266 2147088 2801688 3220632 3735584 4202532 4294176 4786217 5603376 6441264 8405064 9572434 11206752 12882528 14358651 16810128 19144868 28717302 33620256 38289736 43075953 57434604 76579472 86151906 114869208 153158944 172303812 229738416 344607624 459476832 689215248 1378430496