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140450704416100 = 2252132911632
BaseRepresentation
bin11111111011110100111010…
…010110000101110101100100
3200102021221211002010010110001
4133323310322112011311210
5121402121020312303400
61214414055102511044
741404141246436101
oct3773647226056544
9612257732103401
10140450704416100
114082a89a111961
1213904354895484
13604a5a1a15c00
142697bc9587aa8
1511386a2520a6a
hex7fbd3a585d64

140450704416100 has 81 divisors (see below), whose sum is σ = 330029532821163. Its totient is φ = 51858152773440.

The previous prime is 140450704416097. The next prime is 140450704416151. The reversal of 140450704416100 is 1614407054041.

The square root of 140450704416100 is 11851190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36201376830564 + 104249327585536 = 6016758^2 + 10210256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 140450704416100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1540609119 + ... + 1540700281.

Almost surely, 2140450704416100 is an apocalyptic number.

140450704416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140450704416100 is the 11851190-th square number.

It is an amenable number.

140450704416100 is an abundant number, since it is smaller than the sum of its proper divisors (189578828405063).

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

140450704416100 is an frugal number, since it uses more digits than its factorization.

140450704416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182366 (or 91183 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 140450704416100 in words is "one hundred forty trillion, four hundred fifty billion, seven hundred four million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 91163 182326 364652 455815 911630 1185119 1823260 2279075 2370238 4558150 4740476 5925595 9116300 11851190 15406547 23702380 29627975 30813094 59255950 61626188 77032735 118511900 154065470 308130940 385163675 770327350 1540654700 8310692569 16621385138 33242770276 41553462845 83106925690 108039003397 166213851380 207767314225 216078006794 415534628450 432156013588 540195016985 831069256900 1080390033970 1404507044161 2160780067940 2700975084925 2809014088322 5401950169850 5618028176644 7022535220805 10803900339700 14045070441610 28090140883220 35112676104025 70225352208050 140450704416100