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1378048356300 = 2235271159655773
BaseRepresentation
bin10100000011011010000…
…101010010111111001100
311212201222120002202101010
4110003122011102333030
5140034220334400200
62533022222445220
7201363215521560
oct24033205227714
94781876082333
101378048356300
1149147740a4a0
121a30a9733810
139cc45ab60a5
144a9ab0556a0
1525ca5dd4150
hex140da152fcc

1378048356300 has 144 divisors (see below), whose sum is σ = 4970996335872. Its totient is φ = 286347705600.

The previous prime is 1378048356287. The next prime is 1378048356341. The reversal of 1378048356300 is 36538408731.

It is a super-2 number, since 2×13780483563002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1378048356300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804787 + ... + 29850986.

It is an arithmetic number, because the mean of its divisors is an integer number (34520807888).

Almost surely, 21378048356300 is an apocalyptic number.

1378048356300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378048356300 is an abundant number, since it is smaller than the sum of its proper divisors (3592947979572).

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

1378048356300 is a wasteful number, since it uses less digits than its factorization.

1378048356300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59655808 (or 59655801 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 1378048356300 in words is "one trillion, three hundred seventy-eight billion, forty-eight million, three hundred fifty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 59655773 119311546 178967319 238623092 298278865 357934638 417590411 596557730 656213503 715869276 835180822 894836595 1193115460 1252771233 1312427006 1491394325 1670361644 1789673190 1968640509 2087952055 2505542466 2624854012 2982788650 3281067515 3579346380 3937281018 4175904110 4474182975 4593494521 5011084932 5965577300 6263856165 6562135030 7874562036 8351808220 8948365950 9186989042 9843202545 10439760275 12527712330 13124270060 13780483563 16405337575 17896731900 18373978084 19686405090 20879520550 22967472605 25055424660 27560967126 31319280825 32810675150 39372810180 41759041100 45934945210 49216012725 55121934252 62638561650 65621350300 68902417815 91869890420 98432025450 114837363025 125277123300 137804835630 196864050900 229674726050 275609671260 344512089075 459349452100 689024178150 1378048356300