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3142071413880 = 233579029414283
BaseRepresentation
bin101101101110010010000…
…011001110110001111000
3102010101020100200212211220
4231232102003032301320
5402434430240221010
610403240410552040
7443002313230650
oct55562203166170
912111210625756
103142071413880
1110015aa443813
12428b55438620
1319a3b05b1489
14ac11168d360
1556aec232970
hex2db920cec78

3142071413880 has 128 divisors (see below), whose sum is σ = 10774035417600. Its totient is φ = 718106476032.

The previous prime is 3142071413849. The next prime is 3142071413881. The reversal of 3142071413880 is 883141702413.

3142071413880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31420714138802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142071413881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7377219 + ... + 7791501.

It is an arithmetic number, because the mean of its divisors is an integer number (84172151700).

Almost surely, 23142071413880 is an apocalyptic number.

3142071413880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142071413880 is an abundant number, since it is smaller than the sum of its proper divisors (7631964003720).

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

3142071413880 is a wasteful number, since it uses less digits than its factorization.

3142071413880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423333 (or 423329 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 3142071413880 in words is "three trillion, one hundred forty-two billion, seventy-one million, four hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 9029 18058 27087 36116 45145 54174 63203 72232 90290 108348 126406 135435 180580 189609 216696 252812 270870 316015 361160 379218 414283 505624 541740 632030 758436 828566 948045 1083480 1242849 1264060 1516872 1657132 1896090 2071415 2485698 2528120 2899981 3314264 3792180 4142830 4971396 5799962 6214245 7584360 8285660 8699943 9942792 11599924 12428490 14499905 16571320 17399886 23199848 24856980 28999810 34799772 43499715 49713960 57999620 69599544 86999430 115999240 173998860 347997720 3740561207 7481122414 11221683621 14962244828 18702806035 22443367242 26183928449 29924489656 37405612070 44886734484 52367856898 56108418105 74811224140 78551785347 89773468968 104735713796 112216836210 130919642245 149622448280 157103570694 209471427592 224433672420 261839284490 314207141388 392758926735 448867344840 523678568980 628414282776 785517853470 1047357137960 1571035706940 3142071413880