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420040604400 = 243521672096011
BaseRepresentation
bin1100001110011000101…
…11101111101011110000
31111011012100111120000020
412013030113233223300
523340220343320100
6520544115523440
742226666141044
oct6071427575360
91434170446006
10420040604400
11152157a7507a
12694a68b9580
13307c0561941
1416489a18024
15add5ed55a0
hex61cc5efaf0

420040604400 has 120 divisors (see below), whose sum is σ = 1353587781504. Its totient is φ = 111340051200.

The previous prime is 420040604377. The next prime is 420040604411. The reversal of 420040604400 is 4406040024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 847606 + ... + 1248405.

Almost surely, 2420040604400 is an apocalyptic number.

420040604400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420040604400 is an abundant number, since it is smaller than the sum of its proper divisors (933547177104).

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

420040604400 is a wasteful number, since it uses less digits than its factorization.

420040604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096199 (or 2096188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420040604400 its reverse (4406040024), we get a palindrome (424446644424).

The spelling of 420040604400 in words is "four hundred twenty billion, forty million, six hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 167 200 240 300 334 400 501 600 668 835 1002 1200 1336 1670 2004 2505 2672 3340 4008 4175 5010 6680 8016 8350 10020 12525 13360 16700 20040 25050 33400 40080 50100 66800 100200 200400 2096011 4192022 6288033 8384044 10480055 12576066 16768088 20960110 25152132 31440165 33536176 41920220 50304264 52400275 62880330 83840440 100608528 104800550 125760660 157200825 167680880 209601100 251521320 314401650 350033837 419202200 503042640 628803300 700067674 838404400 1050101511 1257606600 1400135348 1750169185 2100203022 2515213200 2800270696 3500338370 4200406044 5250507555 5600541392 7000676740 8400812088 8750845925 10501015110 14001353480 16801624176 17501691850 21002030220 26252537775 28002706960 35003383700 42004060440 52505075550 70006767400 84008120880 105010151100 140013534800 210020302200 420040604400