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1440378108 = 22321317197919
BaseRepresentation
bin101010111011010…
…0110110011111100
310201101022210022100
41111312212303330
510422214044413
6354532145100
750460004041
oct12566466374
93641283270
101440378108
1167a068434
12342468190
1319c548450
14d94231c8
15866bda73
hex55da6cfc

1440378108 has 144 divisors (see below), whose sum is σ = 4177293120. Its totient is φ = 414554112.

The previous prime is 1440378097. The next prime is 1440378109. The reversal of 1440378108 is 8018730441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440378109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566873 + ... + 1567791.

It is an arithmetic number, because the mean of its divisors is an integer number (29008980).

Almost surely, 21440378108 is an apocalyptic number.

1440378108 is a gapful number since it is divisible by the number (18) 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 1440378108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088646560).

1440378108 is an abundant number, since it is smaller than the sum of its proper divisors (2736915012).

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

1440378108 is a wasteful number, since it uses less digits than its factorization.

1440378108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1440378108 is about 37952.3136053654. The cubic root of 1440378108 is about 1129.3420630219.

The spelling of 1440378108 in words is "one billion, four hundred forty million, three hundred seventy-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 197 204 221 234 306 394 442 468 591 612 663 788 884 919 1182 1326 1773 1838 1989 2364 2561 2652 2757 3349 3546 3676 3978 5122 5514 6698 7092 7683 7956 8271 10047 10244 11028 11947 13396 15366 15623 16542 20094 23049 23894 30141 30732 31246 33084 35841 40188 43537 46098 46869 47788 60282 62492 71682 87074 92196 93738 107523 120564 130611 140607 143364 174148 181043 187476 203099 215046 261222 281214 362086 391833 406198 430092 522444 543129 562428 609297 724172 783666 812396 1086258 1218594 1567332 1629387 1827891 2172516 2353559 2437188 3077731 3258774 3655782 4707118 6155462 6517548 7060677 7311564 9233193 9414236 12310924 14121354 18466386 21182031 27699579 28242708 36932772 40010503 42364062 55399158 80021006 84728124 110798316 120031509 160042012 240063018 360094527 480126036 720189054 1440378108