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1400303141200 = 245261281204233
BaseRepresentation
bin10100011000001000100…
…100100100000101010000
311221212102112101222000201
4110120020210210011100
5140420310101004300
62551142420024544
7203111550211435
oct24301044440520
94855375358021
101400303141200
1149a957687807
121a747a832154
13a2081664672
144babc999b8c
1526659a8e66a
hex14608924150

1400303141200 has 120 divisors (see below), whose sum is σ = 3431564993016. Its totient is φ = 548975616000.

The previous prime is 1400303141197. The next prime is 1400303141207. The reversal of 1400303141200 is 21413030041.

It can be written as a sum of positive squares in 12 ways, for example, as 564307449616 + 835995691584 = 751204^2 + 914328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400303141207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6754284 + ... + 6958516.

Almost surely, 21400303141200 is an apocalyptic number.

1400303141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400303141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715782496508).

1400303141200 is an abundant number, since it is smaller than the sum of its proper divisors (2031261851816).

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

1400303141200 is a wasteful number, since it uses less digits than its factorization.

1400303141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204593 (or 204582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1400303141200 its reverse (21413030041), we get a palindrome (1421716171241).

The spelling of 1400303141200 in words is "one trillion, four hundred billion, three hundred three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 281 305 400 488 562 610 976 1124 1220 1405 1525 2248 2440 2810 3050 4496 4880 5620 6100 7025 11240 12200 14050 17141 22480 24400 28100 34282 56200 68564 85705 112400 137128 171410 204233 274256 342820 408466 428525 685640 816932 857050 1021165 1371280 1633864 1714100 2042330 3267728 3428200 4084660 5105825 6856400 8169320 10211650 12458213 16338640 20423300 24916426 40846600 49832852 57389473 62291065 81693200 99665704 114778946 124582130 199331408 229557892 249164260 286947365 311455325 459115784 498328520 573894730 622910650 918231568 996657040 1147789460 1245821300 1434736825 2295578920 2491642600 2869473650 3500757853 4591157840 4983285200 5738947300 7001515706 11477894600 14003031412 17503789265 22955789200 28006062824 35007578530 56012125648 70015157060 87518946325 140030314120 175037892650 280060628240 350075785300 700151570600 1400303141200