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354421021440 = 283592297141
BaseRepresentation
bin1010010100001010010…
…00111001101100000000
31020212211012200100122210
411022011020321230000
521301323240141230
6430452504302120
734414611655413
oct5120510715400
91225735610583
10354421021440
11127344477182
1258832a71940
13275637b1945
1413222a9db7a
159345240eb0
hex5285239b00

354421021440 has 72 divisors (see below), whose sum is σ = 1131932149488. Its totient is φ = 94512271360.

The previous prime is 354421021433. The next prime is 354421021441. The reversal of 354421021440 is 44120124453.

It is a super-2 number, since 2×3544210214402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354421021398 and 354421021407.

It is not an unprimeable number, because it can be changed into a prime (354421021441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46144731 + ... + 46152410.

It is an arithmetic number, because the mean of its divisors is an integer number (15721279854).

Almost surely, 2354421021440 is an apocalyptic number.

354421021440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354421021440 is an abundant number, since it is smaller than the sum of its proper divisors (777511128048).

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

354421021440 is an equidigital number, since it uses as much as digits as its factorization.

354421021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92297165 (or 92297151 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 354421021440 its reverse (44120124453), we get a palindrome (398541145893).

The spelling of 354421021440 in words is "three hundred fifty-four billion, four hundred twenty-one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 92297141 184594282 276891423 369188564 461485705 553782846 738377128 922971410 1107565692 1384457115 1476754256 1845942820 2215131384 2768914230 2953508512 3691885640 4430262768 5537828460 5907017024 7383771280 8860525536 11075656920 11814034048 14767542560 17721051072 22151313840 23628068096 29535085120 35442102144 44302627680 59070170240 70884204288 88605255360 118140340480 177210510720 354421021440