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140442553200 = 24352307381223
BaseRepresentation
bin1000001011001100000…
…1110100101101110000
3111102111200102220121110
42002303001310231300
54300111243200300
6144303551153320
713101204001605
oct2026301645560
9442450386543
10140442553200
115461a183994
1223275b15840
13103224822b1
146b2430c6ac
1539be9dd550
hex20b3074b70

140442553200 has 120 divisors (see below), whose sum is σ = 451350917248. Its totient is φ = 37329258240.

The previous prime is 140442553177. The next prime is 140442553231. The reversal of 140442553200 is 2355244041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1404425532002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177789 + ... + 559011.

Almost surely, 2140442553200 is an apocalyptic number.

140442553200 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 140442553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225675458624).

140442553200 is an abundant number, since it is smaller than the sum of its proper divisors (310908364048).

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

140442553200 is a wasteful number, since it uses less digits than its factorization.

140442553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381551 (or 381540 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 140442553200 its reverse (2355244041), we get a palindrome (142797797241).

The spelling of 140442553200 in words is "one hundred forty billion, four hundred forty-two million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 307 400 600 614 921 1200 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 7675 9210 12280 14736 15350 18420 23025 24560 30700 36840 46050 61400 73680 92100 122800 184200 368400 381223 762446 1143669 1524892 1906115 2287338 3049784 3812230 4574676 5718345 6099568 7624460 9149352 9530575 11436690 15248920 18298704 19061150 22873380 28591725 30497840 38122300 45746760 57183450 76244600 91493520 114366900 117035461 152489200 228733800 234070922 351106383 457467600 468141844 585177305 702212766 936283688 1170354610 1404425532 1755531915 1872567376 2340709220 2808851064 2925886525 3511063830 4681418440 5617702128 5851773050 7022127660 8777659575 9362836880 11703546100 14044255320 17555319150 23407092200 28088510640 35110638300 46814184400 70221276600 140442553200