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355005143040 = 2113511556157
BaseRepresentation
bin1010010101001111111…
…01001001100000000000
31020221022220210210212010
411022213331021200000
521304022304034130
6431030452132520
734435233633012
oct5124775114000
91227286723763
10355005143040
1112761416a3a9
1258976607140
132762780b122
141327a4b21b2
15937b6740b0
hex52a7f49800

355005143040 has 96 divisors (see below), whose sum is σ = 1135739208240. Its totient is φ = 94668029952.

The previous prime is 355005143011. The next prime is 355005143081. The reversal of 355005143040 is 40341500553.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 355005142989 and 355005143007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5747359 + ... + 5808798.

Almost surely, 2355005143040 is an apocalyptic number.

355005143040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355005143040 is an abundant number, since it is smaller than the sum of its proper divisors (780734065200).

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

355005143040 is a wasteful number, since it uses less digits than its factorization.

355005143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556187 (or 11556167 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 355005143040 its reverse (40341500553), we get a palindrome (395346643593).

The spelling of 355005143040 in words is "three hundred fifty-five billion, five million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 11556157 23112314 34668471 46224628 57780785 69336942 92449256 115561570 138673884 173342355 184898512 231123140 277347768 346684710 369797024 462246280 554695536 693369420 739594048 924492560 1109391072 1386738840 1479188096 1848985120 2218782144 2773477680 2958376192 3697970240 4437564288 5546955360 5916752384 7395940480 8875128576 11093910720 11833504768 14791880960 17750257152 22187821440 23667009536 29583761920 35500514304 44375642880 59167523840 71001028608 88751285760 118335047680 177502571520 355005143040