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1010554540140 = 2235197331209347
BaseRepresentation
bin11101011010010011011…
…11101001000001101100
310120121102021122121200010
432231021233221001230
5113024103430241030
62052124202533220
7133003324602045
oct16551157510154
93517367577603
101010554540140
1135a634769142
12143a28807210
13743aab25b72
1436ca80bb8cc
151b4481626b0
hexeb49be906c

1010554540140 has 96 divisors (see below), whose sum is σ = 2982542411520. Its totient is φ = 254949486336.

The previous prime is 1010554540133. The next prime is 1010554540141. The reversal of 1010554540140 is 410454550101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1010554540098 and 1010554540107.

It is not an unprimeable number, because it can be changed into a prime (1010554540141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230947 + ... + 1440293.

It is an arithmetic number, because the mean of its divisors is an integer number (31068150120).

Almost surely, 21010554540140 is an apocalyptic number.

1010554540140 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 1010554540140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491271205760).

1010554540140 is an abundant number, since it is smaller than the sum of its proper divisors (1971987871380).

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

1010554540140 is a wasteful number, since it uses less digits than its factorization.

1010554540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210111 (or 1210109 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 1010554540140 in words is "one trillion, ten billion, five hundred fifty-four million, five hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 733 1140 1466 2199 2932 3665 4398 7330 8796 10995 13927 14660 21990 27854 41781 43980 55708 69635 83562 139270 167124 208905 278540 417810 835620 1209347 2418694 3628041 4837388 6046735 7256082 12093470 14512164 18140205 22977593 24186940 36280410 45955186 68932779 72560820 91910372 114887965 137865558 229775930 275731116 344663895 459551860 689327790 886451351 1378655580 1772902702 2659354053 3545805404 4432256755 5318708106 8864513510 10637416212 13296770265 16842575669 17729027020 26593540530 33685151338 50527727007 53187081060 67370302676 84212878345 101055454014 168425756690 202110908028 252638635035 336851513380 505277270070 1010554540140