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1010204030040 = 233519947467869
BaseRepresentation
bin11101011001101001101…
…10100011010001011000
310120120111212002212012120
432230310312203101120
5113022344212430130
62052025322141240
7132661540401522
oct16546466432130
93516455085176
101010204030040
1135a474925777
1214394b351820
137435332173a
1436c7371aa12
151b4274c7910
hexeb34da3458

1010204030040 has 128 divisors (see below), whose sum is σ = 3193493472000. Its totient is φ = 254939401728.

The previous prime is 1010204030023. The next prime is 1010204030063. The reversal of 1010204030040 is 400304020101.

1010204030040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925226 + ... + 2393094.

It is an arithmetic number, because the mean of its divisors is an integer number (24949167750).

Almost surely, 21010204030040 is an apocalyptic number.

1010204030040 is a gapful number since it is divisible by the number (10) 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 1010204030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596746736000).

1010204030040 is an abundant number, since it is smaller than the sum of its proper divisors (2183289441960).

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

1010204030040 is a wasteful number, since it uses less digits than its factorization.

1010204030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468849 (or 468845 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1010204030040 its reverse (400304020101), we get a palindrome (1410508050141).

The spelling of 1010204030040 in words is "one trillion, ten billion, two hundred four million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 947 1140 1894 2280 2841 3788 4735 5682 7576 9470 11364 14205 17993 18940 22728 28410 35986 37880 53979 56820 71972 89965 107958 113640 143944 179930 215916 269895 359860 431832 467869 539790 719720 935738 1079580 1403607 1871476 2159160 2339345 2807214 3742952 4678690 5614428 7018035 8889511 9357380 11228856 14036070 17779022 18714760 26668533 28072140 35558044 44447555 53337066 56144280 71116088 88895110 106674132 133342665 177790220 213348264 266685330 355580440 443071943 533370660 886143886 1066741320 1329215829 1772287772 2215359715 2658431658 3544575544 4430719430 5316863316 6646079145 8418366917 8861438860 10633726632 13292158290 16836733834 17722877720 25255100751 26584316580 33673467668 42091834585 50510201502 53168633160 67346935336 84183669170 101020403004 126275503755 168367338340 202040806008 252551007510 336734676680 505102015020 1010204030040