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1030420173744 = 2432132712031137
BaseRepresentation
bin11101111111010011101…
…01000001001110110000
310122111200202100100212200
432333221311001032300
5113340300031024434
62105211332223200
7134305525651143
oct16775165011660
93574622310780
101030420173744
11367aa9363755
1214785176ab00
1376225716750
1437c305c805a
151bc0c1db199
hexefe9d413b0

1030420173744 has 120 divisors (see below), whose sum is σ = 3117033122112. Its totient is φ = 315882270720.

The previous prime is 1030420173721. The next prime is 1030420173791. The reversal of 1030420173744 is 4473710240301.

1030420173744 is a `hidden beast` number, since 10 + 304 + 201 + 73 + 74 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1030420173699 and 1030420173708.

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, 508257 + ... + 1522880.

Almost surely, 21030420173744 is an apocalyptic number.

It is an amenable number.

1030420173744 is an abundant number, since it is smaller than the sum of its proper divisors (2086612948368).

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

1030420173744 is a wasteful number, since it uses less digits than its factorization.

1030420173744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031435 (or 2031426 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1030420173744 in words is "one trillion, thirty billion, four hundred twenty million, one hundred seventy-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 271 312 468 542 624 813 936 1084 1626 1872 2168 2439 3252 3523 4336 4878 6504 7046 9756 10569 13008 14092 19512 21138 28184 31707 39024 42276 56368 63414 84552 126828 169104 253656 507312 2031137 4062274 6093411 8124548 12186822 16249096 18280233 24373644 26404781 32498192 36560466 48747288 52809562 73120932 79214343 97494576 105619124 146241864 158428686 211238248 237643029 292483728 316857372 422476496 475286058 550438127 633714744 950572116 1100876254 1267429488 1651314381 1901144232 2201752508 3302628762 3802288464 4403505016 4953943143 6605257524 7155695651 8807010032 9907886286 13210515048 14311391302 19815772572 21467086953 26421030096 28622782604 39631545144 42934173906 57245565208 64401260859 79263090288 85868347812 114491130416 128802521718 171736695624 257605043436 343473391248 515210086872 1030420173744