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103434443501440 = 275761212373611
BaseRepresentation
bin10111100001001010110101…
…010000110010111110000000
3111120020020101012200100011011
4113201022311100302332000
5102024132220014021230
61003553043302130304
730533614635215032
oct2741126520627600
9446206335610134
10103434443501440
112aa5933490a717
12b726355a20994
134593a9813075c
141b7837a515c52
15be58796b3e2a
hex5e12b5432f80

103434443501440 has 64 divisors (see below), whose sum is σ = 247597899286320. Its totient is φ = 41319409561600.

The previous prime is 103434443501387. The next prime is 103434443501563. The reversal of 103434443501440 is 44105344434301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103434443501393 and 103434443501402.

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, 105699766 + ... + 106673845.

Almost surely, 2103434443501440 is an apocalyptic number.

103434443501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103434443501440 is an abundant number, since it is smaller than the sum of its proper divisors (144163455784880).

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

103434443501440 is an equidigital number, since it uses as much as digits as its factorization.

103434443501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212374391 (or 212374379 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 103434443501440 its reverse (44105344434301), we get a palindrome (147539787935741).

The spelling of 103434443501440 in words is "one hundred three trillion, four hundred thirty-four billion, four hundred forty-three million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 761 1522 3044 3805 6088 7610 12176 15220 24352 30440 48704 60880 97408 121760 243520 487040 212373611 424747222 849494444 1061868055 1698988888 2123736110 3397977776 4247472220 6795955552 8494944440 13591911104 16989888880 27183822208 33979777760 67959555520 135919111040 161616317971 323232635942 646465271884 808081589855 1292930543768 1616163179710 2585861087536 3232326359420 5171722175072 6464652718840 10343444350144 12929305437680 20686888700288 25858610875360 51717221750720 103434443501440