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1378101438 = 23477915383
BaseRepresentation
bin101001000100100…
…0010100010111110
310120001010210210000
41102021002202332
510310243221223
6344425255130
746102445310
oct12211024276
93501123700
101378101438
116479a200a
123256344a6
1318c68214c
14d10517b0
1580ebb543
hex522428be

1378101438 has 80 divisors (see below), whose sum is σ = 3574010880. Its totient is φ = 388733904.

The previous prime is 1378101437. The next prime is 1378101503. The reversal of 1378101438 is 8341018731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378101437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81895 + ... + 97277.

It is an arithmetic number, because the mean of its divisors is an integer number (44675136).

Almost surely, 21378101438 is an apocalyptic number.

1378101438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378101438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787005440).

1378101438 is an abundant number, since it is smaller than the sum of its proper divisors (2195909442).

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

1378101438 is a wasteful number, since it uses less digits than its factorization.

1378101438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1378101438 is about 37122.7886614139. The cubic root of 1378101438 is about 1112.8254824780.

The spelling of 1378101438 in words is "one billion, three hundred seventy-eight million, one hundred one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 158 162 189 237 378 474 553 567 711 1106 1134 1422 1659 2133 3318 4266 4977 6399 9954 12798 14931 15383 29862 30766 44793 46149 89586 92298 107681 138447 215362 276894 323043 415341 646086 830682 969129 1215257 1246023 1938258 2430514 2492046 2907387 3645771 5814774 7291542 8506799 8722161 10937313 17013598 17444322 21874626 25520397 32811939 51040794 65623878 76561191 98435817 153122382 196871634 229683573 459367146 689050719 1378101438