Search a number
-
+
1400311002240 = 27325243109549
BaseRepresentation
bin10100011000001001000…
…010100011010010000000
311221212110002012100100100
4110120021002203102000
5140420314104032430
62551143300322400
7203112004062063
oct24301102432200
94855402170310
101400311002240
1149a961066937
121a74813a3400
13a2083187777
144babda448da
152665a5e3960
hex146090a3480

1400311002240 has 96 divisors (see below), whose sum is σ = 4835448949500. Its totient is φ = 373416265728.

The previous prime is 1400311002229. The next prime is 1400311002257. The reversal of 1400311002240 is 422001130041.

1400311002240 is a `hidden beast` number, since 1 + 400 + 31 + 10 + 0 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1395932798016 + 4378204224 = 1181496^2 + 66168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121549015 + ... + 121560534.

Almost surely, 21400311002240 is an apocalyptic number.

1400311002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400311002240 is an abundant number, since it is smaller than the sum of its proper divisors (3435137947260).

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

1400311002240 is a wasteful number, since it uses less digits than its factorization.

1400311002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243109574 (or 243109559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1400311002240 its reverse (422001130041), we get a palindrome (1822312132281).

The spelling of 1400311002240 in words is "one trillion, four hundred billion, three hundred eleven million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 243109549 486219098 729328647 972438196 1215547745 1458657294 1944876392 2187985941 2431095490 2917314588 3646643235 3889752784 4375971882 4862190980 5834629176 7293286470 7779505568 8751943764 9724381960 10939929705 11669258352 14586572940 15559011136 17503887528 19448763920 21879859410 23338516704 29173145880 31118022272 35007775056 38897527840 43759718820 46677033408 58346291760 70015550112 77795055680 87519437640 93354066816 116692583520 140031100224 155590111360 175038875280 233385167040 280062200448 350077750560 466770334080 700155501120 1400311002240