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400514221451040 = 25352110673953269
BaseRepresentation
bin101101100010000111111101…
…1111001011010011100100000
31221112002210012201122101200020
41123010033323321122130200
5404444011111142413130
63535453405425153440
7150235124530066254
oct13304177371323440
91845083181571606
10400514221451040
11106686144696814
1238b0640a48b880
1314263437b326c8
1470c8dc550c264
153148462539e10
hex16c43fbe5a720

400514221451040 has 96 divisors (see below), whose sum is σ = 1261626094048320. Its totient is φ = 106803259352064.

The previous prime is 400514221451039. The next prime is 400514221451077. The reversal of 400514221451040 is 40154122415004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 400514221450992 and 400514221451010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99335526 + ... + 103288794.

It is an arithmetic number, because the mean of its divisors is an integer number (13141938479670).

Almost surely, 2400514221451040 is an apocalyptic number.

400514221451040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400514221451040 is an abundant number, since it is smaller than the sum of its proper divisors (861111872597280).

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

400514221451040 is a wasteful number, since it uses less digits than its factorization.

400514221451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164354 (or 4164346 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 400514221451040 its reverse (40154122415004), we get a palindrome (440668343866044).

The spelling of 400514221451040 in words is "four hundred trillion, five hundred fourteen billion, two hundred twenty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 211067 422134 633201 844268 1055335 1266402 1688536 2110670 2532804 3166005 3377072 3953269 4221340 5065608 6332010 6754144 7906538 8442680 10131216 11859807 12664020 15813076 16885360 19766345 20262432 23719614 25328040 31626152 33770720 39532690 47439228 50656080 59299035 63252304 79065380 94878456 101312160 118598070 126504608 158130760 189756912 237196140 316261520 379513824 474392280 632523040 948784560 1897569120 834404628023 1668809256046 2503213884069 3337618512092 4172023140115 5006427768138 6675237024184 8344046280230 10012855536276 12516069420345 13350474048368 16688092560460 20025711072552 25032138840690 26700948096736 33376185120920 40051422145104 50064277681380 66752370241840 80102844290208 100128555362760 133504740483680 200257110725520 400514221451040