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355402240000 = 21254138829
BaseRepresentation
bin1010010101111111001…
…11111101000000000000
31020222100121000102110221
411022333213331000000
521310330433140000
6431134115232424
734451125124053
oct5127747750000
91228317012427
10355402240000
111277a8332205
1258a675a8714
132768bb74242
14132b711ca9a
1593a146261a
hex52bf9fd000

355402240000 has 130 divisors (see below), whose sum is σ = 888119249930. Its totient is φ = 142159872000.

The previous prime is 355402239977. The next prime is 355402240009. The reversal of 355402240000 is 42204553.

It can be written as a sum of positive squares in 5 ways, for example, as 171038490624 + 184363749376 = 413568^2 + 429376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355402240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2490586 + ... + 2629414.

Almost surely, 2355402240000 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 355402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444059624965).

355402240000 is an abundant number, since it is smaller than the sum of its proper divisors (532717009930).

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

355402240000 is an frugal number, since it uses more digits than its factorization.

355402240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138873 (or 138836 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 355402240000 its reverse (42204553), we get a palindrome (355444444553).

The spelling of 355402240000 in words is "three hundred fifty-five billion, four hundred two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 10000 10240 12800 16000 20000 20480 25600 32000 40000 51200 64000 80000 102400 128000 138829 160000 256000 277658 320000 512000 555316 640000 694145 1110632 1280000 1388290 2221264 2560000 2776580 3470725 4442528 5553160 6941450 8885056 11106320 13882900 17353625 17770112 22212640 27765800 34707250 35540224 44425280 55531600 69414500 71080448 86768125 88850560 111063200 138829000 142160896 173536250 177701120 222126400 277658000 284321792 347072500 355402240 444252800 555316000 568643584 694145000 710804480 888505600 1110632000 1388290000 1421608960 1777011200 2221264000 2776580000 2843217920 3554022400 4442528000 5553160000 7108044800 8885056000 11106320000 14216089600 17770112000 22212640000 35540224000 44425280000 71080448000 88850560000 177701120000 355402240000