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541400412640 = 25519315744911
BaseRepresentation
bin1111110000011011111…
…10101011000111100000
31220202110010101120201211
413320031332223013200
532332242001201030
61052414345435504
754054256402003
oct7701576530740
91822403346654
10541400412640
1119967446725a
1288b15a9bb94
133c091394869
141c2bd7ad53a
15e13a54212a
hex7e0dfab1e0

541400412640 has 96 divisors (see below), whose sum is σ = 1389809111040. Its totient is φ = 198544089600.

The previous prime is 541400412613. The next prime is 541400412647. The reversal of 541400412640 is 46214004145.

It is a super-2 number, since 2×5414004126402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541400412647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778216 + ... + 2966695.

It is an arithmetic number, because the mean of its divisors is an integer number (14477178240).

Almost surely, 2541400412640 is an apocalyptic number.

It is an amenable number.

541400412640 is an abundant number, since it is smaller than the sum of its proper divisors (848408698400).

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

541400412640 is a wasteful number, since it uses less digits than its factorization.

541400412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744976 (or 5744968 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 541400412640 its reverse (46214004145), we get a palindrome (587614416785).

The spelling of 541400412640 in words is "five hundred forty-one billion, four hundred million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1520 2356 2480 2945 3040 4712 4960 5890 9424 11780 18848 23560 47120 94240 5744911 11489822 22979644 28724555 45959288 57449110 91918576 109153309 114898220 178092241 183837152 218306618 229796440 356184482 436613236 459592880 545766545 712368964 873226472 890461205 919185760 1091533090 1424737928 1746452944 1780922410 2183066180 2849475856 3383752579 3492905888 3561844820 4366132360 5698951712 6767505158 7123689640 8732264720 13535010316 14247379280 16918762895 17464529440 27070020632 28494758560 33837525790 54140041264 67675051580 108280082528 135350103160 270700206320 541400412640