Search a number
-
+
305455012000 = 2553523146011
BaseRepresentation
bin1000111000111101000…
…10011001100010100000
31002012102200111100102121
410130132202121202200
520001032440341000
6352154000554024
731032313522405
oct4343642314240
91065380440377
10305455012000
111085a7433586
124b248322914
1322a5c020568
1410ad98082ac
157e2b543b1a
hex471e8998a0

305455012000 has 96 divisors (see below), whose sum is σ = 751943110464. Its totient is φ = 121947552000.

The previous prime is 305455011971. The next prime is 305455012007. The reversal of 305455012000 is 210554503.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (305455012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018995 + ... + 2165005.

It is an arithmetic number, because the mean of its divisors is an integer number (7832740734).

Almost surely, 2305455012000 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 305455012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375971555232).

305455012000 is an abundant number, since it is smaller than the sum of its proper divisors (446488098464).

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

305455012000 is a wasteful number, since it uses less digits than its factorization.

305455012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146559 (or 146541 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 305455012000 its reverse (210554503), we get a palindrome (305665566503).

The spelling of 305455012000 in words is "three hundred five billion, four hundred fifty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 523 800 1000 1046 2000 2092 2615 4000 4184 5230 8368 10460 13075 16736 20920 26150 41840 52300 65375 83680 104600 130750 146011 209200 261500 292022 418400 523000 584044 730055 1046000 1168088 1460110 2092000 2336176 2920220 3650275 4672352 5840440 7300550 11680880 14601100 18251375 23361760 29202200 36502750 58404400 73005500 76363753 116808800 146011000 152727506 292022000 305455012 381818765 584044000 610910024 763637530 1221820048 1527275060 1909093825 2443640096 3054550120 3818187650 6109100240 7636375300 9545469125 12218200480 15272750600 19090938250 30545501200 38181876500 61091002400 76363753000 152727506000 305455012000