Search a number
-
+
403022420000 = 2554674
BaseRepresentation
bin1011101110101100000…
…00100001100000100000
31102112021022210012210022
411313112000201200200
523100342214420000
6505051305053012
741055162022064
oct5672600414040
91375238705708
10403022420000
11145a14716272
1266137487168
132c00a872645
1415713763aa4
15a73be1a585
hex5dd6021820

403022420000 has 150 divisors (see below), whose sum is σ = 1006518266523. Its totient is φ = 158802864000.

The previous prime is 403022419967. The next prime is 403022420027. The reversal of 403022420000 is 24220304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 93178783504 + 309843636496 = 305252^2 + 556636^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=448900.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 6015259967 + ... + 6015260033.

Almost surely, 2403022420000 is an apocalyptic number.

403022420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403022420000

403022420000 is an abundant number, since it is smaller than the sum of its proper divisors (603495846523).

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

403022420000 is an frugal number, since it uses more digits than its factorization.

403022420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 403022420000 its reverse (24220304), we get a palindrome (403046640304).

The spelling of 403022420000 in words is "four hundred three billion, twenty-two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3350 4000 4489 5000 5360 6700 8375 8978 10000 10720 13400 16750 17956 20000 22445 26800 33500 35912 41875 44890 53600 67000 71824 83750 89780 112225 134000 143648 167500 179560 224450 268000 300763 335000 359120 448900 561125 601526 670000 718240 897800 1122250 1203052 1340000 1503815 1795600 2244500 2406104 2805625 3007630 3591200 4489000 4812208 5611250 6015260 7519075 8978000 9624416 11222500 12030520 15038150 17956000 20151121 22445000 24061040 30076300 37595375 40302242 44890000 48122080 60152600 75190750 80604484 89780000 100755605 120305200 150381500 161208968 187976875 201511210 240610400 300763000 322417936 375953750 403022420 503778025 601526000 644835872 751907500 806044840 1007556050 1203052000 1503815000 1612089680 2015112100 2518890125 3007630000 3224179360 4030224200 5037780250 6015260000 8060448400 10075560500 12594450625 16120896800 20151121000 25188901250 40302242000 50377802500 80604484000 100755605000 201511210000 403022420000