Search a number
-
+
3051303623640 = 2333519148699007
BaseRepresentation
bin101100011001101111110…
…111100101101111011000
3101210200221121002101112000
4230121233313211233120
5344443032211424030
610253425522121000
7433310101601616
oct54315767455730
911720847071460
103051303623640
11a77061391538
124134434b0160
131919766a605c
14a798080c6b6
1554588792860
hex2c66fde5bd8

3051303623640 has 128 divisors (see below), whose sum is σ = 10706328576000. Its totient is φ = 770855647104.

The previous prime is 3051303623617. The next prime is 3051303623653. The reversal of 3051303623640 is 463263031503.

3051303623640 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 3 + 0 + 3 + 6 + 2 + 3 + 640 = 666.

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 = 3051303623595 and 3051303623604.

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, 74328984 + ... + 74370023.

It is an arithmetic number, because the mean of its divisors is an integer number (83643192000).

Almost surely, 23051303623640 is an apocalyptic number.

3051303623640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3051303623640 is an abundant number, since it is smaller than the sum of its proper divisors (7655024952360).

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

3051303623640 is a wasteful number, since it uses less digits than its factorization.

3051303623640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148699046 (or 148699036 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

It can be divided in two parts, 30513036 and 23640, that added together give a square (30536676 = 55262).

The spelling of 3051303623640 in words is "three trillion, fifty-one billion, three hundred three million, six hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 148699007 297398014 446097021 594796028 743495035 892194042 1189592056 1338291063 1486990070 1784388084 2230485105 2676582126 2825281133 2973980140 3568776168 4014873189 4460970210 5353164252 5650562266 5947960280 6691455315 8029746378 8475843399 8921940420 10706328504 11301124532 13382910630 14126405665 16059492756 16951686798 17843880840 20074365945 22602249064 25427530197 26765821260 28252811330 32118985512 33903373596 40148731890 42379216995 50855060394 53531642520 56505622660 67806747192 76282590591 80297463780 84758433990 101710120788 113011245320 127137650985 152565181182 160594927560 169516867980 203420241576 254275301970 305130362364 339033735960 381412952955 508550603940 610260724728 762825905910 1017101207880 1525651811820 3051303623640