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3119143440 = 243572278179
BaseRepresentation
bin1011100111101010…
…0101101000010000
322001101012220102010
42321322211220100
522342000042230
61233302022520
7140203165440
oct27172455020
98041186363
103119143440
1113607476a6
12730717a40
133a929b60a
1421837c120
15133c7a9b0
hexb9ea5a10

3119143440 has 160 divisors (see below), whose sum is σ = 11100718080. Its totient is φ = 709719552.

The previous prime is 3119143421. The next prime is 3119143453. The reversal of 3119143440 is 443419113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3119143398 and 3119143407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377271 + ... + 385449.

It is an arithmetic number, because the mean of its divisors is an integer number (69379488).

Almost surely, 23119143440 is an apocalyptic number.

3119143440 is a gapful number since it is divisible by the number (30) 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 3119143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550359040).

3119143440 is an abundant number, since it is smaller than the sum of its proper divisors (7981574640).

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

3119143440 is a wasteful number, since it uses less digits than its factorization.

3119143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3119143440 is about 55849.2922067952. The cubic root of 3119143440 is about 1461.0949814124.

The spelling of 3119143440 in words is "three billion, one hundred nineteen million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 227 240 280 336 420 454 560 681 840 908 1135 1362 1589 1680 1816 2270 2724 3178 3405 3632 4540 4767 5448 6356 6810 7945 8179 9080 9534 10896 12712 13620 15890 16358 18160 19068 23835 24537 25424 27240 31780 32716 38136 40895 47670 49074 54480 57253 63560 65432 76272 81790 95340 98148 114506 122685 127120 130864 163580 171759 190680 196296 229012 245370 286265 327160 343518 381360 392592 458024 490740 572530 654320 687036 858795 916048 981480 1145060 1374072 1717590 1856633 1962960 2290120 2748144 3435180 3713266 4580240 5569899 6870360 7426532 9283165 11139798 12996431 13740720 14853064 18566330 22279596 25992862 27849495 29706128 37132660 38989293 44559192 51985724 55698990 64982155 74265320 77978586 89118384 103971448 111397980 129964310 148530640 155957172 194946465 207942896 222795960 259928620 311914344 389892930 445591920 519857240 623828688 779785860 1039714480 1559571720 3119143440