Search a number
-
+
45103041938304 = 273371864378387
BaseRepresentation
bin10100100000101010111101…
…10010110000001110000000
312220200210211112121221212000
422100111132302300032000
521402432012214011204
6235532015035104000
712333405265610160
oct1220253662601600
9186623745557760
1045103041938304
111340a102381a29
1250853315a2000
131c2227744784c
14b1cddacc45a0
15533378753039
hex29055ecb0380

45103041938304 has 128 divisors (see below), whose sum is σ = 152133276460800. Its totient is φ = 12886583404032.

The previous prime is 45103041938299. The next prime is 45103041938333. The reversal of 45103041938304 is 40383914030154.

45103041938304 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 304 + 1 + 9 + 38 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 45103041938304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932165002 + ... + 932213385.

It is an arithmetic number, because the mean of its divisors is an integer number (1188541222350).

Almost surely, 245103041938304 is an apocalyptic number.

It is an amenable number.

45103041938304 is an abundant number, since it is smaller than the sum of its proper divisors (107030234522496).

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

45103041938304 is a wasteful number, since it uses less digits than its factorization.

45103041938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864378417 (or 1864378399 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 45103041938304 its reverse (40383914030154), we get a palindrome (85486955968458).

The spelling of 45103041938304 in words is "forty-five trillion, one hundred three billion, forty-one million, nine hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 1864378387 3728756774 5593135161 7457513548 11186270322 13050648709 14915027096 16779405483 22372540644 26101297418 29830054192 33558810966 39151946127 44745081288 50338216449 52202594836 59660108384 67117621932 78303892254 89490162576 100676432898 104405189672 117455838381 119320216768 134235243864 156607784508 178980325152 201352865796 208810379344 234911676762 238640433536 268470487728 313215569016 352367515143 357960650304 402705731592 417620758688 469823353524 536940975456 626431138032 704735030286 715921300608 805411463184 835241517376 939646707048 1073881950912 1252862276064 1409470060572 1610822926368 1670483034752 1879293414096 2147763901824 2505724552128 2818940121144 3221645852736 3758586828192 5011449104256 5637880242288 6443291705472 7517173656384 11275760484576 15034347312768 22551520969152 45103041938304