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1420077388900 = 225226924432
BaseRepresentation
bin10100101010100011001…
…101010101010001100100
312000202110122010211100011
4110222203031111101210
5141231304302421100
63004212522500004
7204411561433402
oct24524315252144
95022418124304
101420077388900
114a8284734785
121ab279064604
13a3bb3339551
144ca36cb8472
1526e15ab5bba
hex14aa3355464

1420077388900 has 81 divisors (see below), whose sum is σ = 3100064014411. Its totient is φ = 564641846080.

The previous prime is 1420077388889. The next prime is 1420077388913. The reversal of 1420077388900 is 98837700241.

The square root of 1420077388900 is 1191670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 544700089444 + 875377299456 = 738038^2 + 935616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3205592079 + ... + 3205592521.

Almost surely, 21420077388900 is an apocalyptic number.

1420077388900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1420077388900 is the 1191670-th square number.

It is an amenable number.

1420077388900 is an abundant number, since it is smaller than the sum of its proper divisors (1679986625511).

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

1420077388900 is an frugal number, since it uses more digits than its factorization.

1420077388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 1420077388900 by its sum of digits (49), we get a square (69583792056100 = 83416902).

The spelling of 1420077388900 in words is "one trillion, four hundred twenty billion, seventy-seven million, three hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 443 538 886 1076 1345 1772 2215 2690 4430 5380 6725 8860 11075 13450 22150 26900 44300 72361 119167 144722 196249 238334 289444 361805 392498 476668 595835 723610 784996 981245 1191670 1447220 1809025 1962490 2383340 2979175 3618050 3924980 4906225 5958350 7236100 9812450 11916700 19624900 32055923 52790981 64111846 105581962 128223692 160279615 211163924 263954905 320559230 527909810 641118460 801398075 1055819620 1319774525 1602796150 2639549050 3205592300 5279098100 14200773889 28401547778 56803095556 71003869445 142007738890 284015477780 355019347225 710038694450 1420077388900