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1330430134000 = 245311113535169
BaseRepresentation
bin10011010111000011110…
…100001100011011110000
311201012001222000102112011
4103113003310030123300
5133244210103242000
62455105143012304
7165056204356252
oct23270364143360
94635058012464
101330430134000
11473261143270
12195a1a43a094
13985c7621aa6
1448570b9dcd2
152491a6b62ba
hex135c3d0c6f0

1330430134000 has 160 divisors (see below), whose sum is σ = 3540496340160. Its totient is φ = 479510528000.

The previous prime is 1330430133973. The next prime is 1330430134049. The reversal of 1330430134000 is 4310340331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 2218416 + ... + 2753584.

It is an arithmetic number, because the mean of its divisors is an integer number (22128102126).

Almost surely, 21330430134000 is an apocalyptic number.

1330430134000 is a gapful number since it is divisible by the number (10) 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 1330430134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770248170080).

1330430134000 is an abundant number, since it is smaller than the sum of its proper divisors (2210066206160).

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

1330430134000 is a wasteful number, since it uses less digits than its factorization.

1330430134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535316 (or 535300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1330430134000 its reverse (4310340331), we get a palindrome (1334740474331).

The spelling of 1330430134000 in words is "one trillion, three hundred thirty billion, four hundred thirty million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 880 904 1000 1100 1130 1243 1375 1808 2000 2200 2260 2486 2750 2825 4400 4520 4972 5500 5650 6215 9040 9944 11000 11300 12430 14125 19888 22000 22600 24860 28250 31075 45200 49720 56500 62150 99440 113000 124300 155375 226000 248600 310750 497200 535169 621500 1070338 1243000 2140676 2486000 2675845 4281352 5351690 5886859 8562704 10703380 11773718 13379225 21406760 23547436 26758450 29434295 42813520 47094872 53516900 58868590 60474097 66896125 94189744 107033800 117737180 120948194 133792250 147171475 214067600 235474360 241896388 267584500 294342950 302370485 470948720 483792776 535169000 588685900 604740970 665215067 735857375 967585552 1070338000 1177371800 1209481940 1330430134 1471714750 1511852425 2354743600 2418963880 2660860268 2943429500 3023704850 3326075335 4837927760 5321720536 5886859000 6047409700 6652150670 7559262125 10643441072 11773718000 12094819400 13304301340 15118524250 16630376675 24189638800 26608602680 30237048500 33260753350 53217205360 60474097000 66521506700 83151883375 120948194000 133043013400 166303766750 266086026800 332607533500 665215067000 1330430134000