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320141411120 = 245103102138053
BaseRepresentation
bin1001010100010011110…
…10100100001100110000
31010121100012112201120202
410222021322210030300
520221122200123440
6403023153254332
732062255044506
oct4521172441460
91117305481522
10320141411120
11113853531613
12520668643a8
132425c8b8c5b
14116d0118676
1584daa5e615
hex4a89ea4330

320141411120 has 80 divisors (see below), whose sum is σ = 752311140672. Its totient is φ = 126685762560.

The previous prime is 320141411113. The next prime is 320141411153. The reversal of 320141411120 is 21114141023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3201414111202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320141411092 and 320141411101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8394014 + ... + 8432066.

Almost surely, 2320141411120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320141411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376155570336).

320141411120 is an abundant number, since it is smaller than the sum of its proper divisors (432169729552).

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

320141411120 is a wasteful number, since it uses less digits than its factorization.

320141411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39190 (or 39184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 320141411120 its reverse (21114141023), we get a palindrome (341255552143).

The spelling of 320141411120 in words is "three hundred twenty billion, one hundred forty-one million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1021 1030 1648 2042 2060 4084 4120 5105 8168 8240 10210 16336 20420 38053 40840 76106 81680 105163 152212 190265 210326 304424 380530 420652 525815 608848 761060 841304 1051630 1522120 1682608 2103260 3044240 3919459 4206520 7838918 8413040 15677836 19597295 31355672 38852113 39194590 62711344 77704226 78389180 155408452 156778360 194260565 310816904 313556720 388521130 621633808 777042260 1554084520 3108169040 4001767639 8003535278 16007070556 20008838195 32014141112 40017676390 64028282224 80035352780 160070705560 320141411120