Search a number
-
+
153454451303412 = 223272587148198159
BaseRepresentation
bin100010111001000011100110…
…000011110010001111110100
3202010100002202120001020211200
4202321003212003302033310
5130103144204013202122
61302212000212132500
744215501233306300
oct4271034603621764
9663302676036750
10153454451303412
1144993738236536
1215264601307130
136781900a305bc
1429c7341076d00
1512b1a80ad15ac
hex8b90e60f23f4

153454451303412 has 108 divisors (see below), whose sum is σ = 451997867280960. Its totient is φ = 43769436776352.

The previous prime is 153454451303411. The next prime is 153454451303497. The reversal of 153454451303412 is 214303154454351.

153454451303412 is a `hidden beast` number, since 1 + 5 + 3 + 45 + 445 + 130 + 34 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153454451303411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73063612 + ... + 75134547.

Almost surely, 2153454451303412 is an apocalyptic number.

153454451303412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153454451303412 is an abundant number, since it is smaller than the sum of its proper divisors (298543415977548).

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

153454451303412 is a wasteful number, since it uses less digits than its factorization.

153454451303412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148198770 (or 148198758 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 153454451303412 in words is "one hundred fifty-three trillion, four hundred fifty-four billion, four hundred fifty-one million, three hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 587 588 882 1174 1761 1764 2348 3522 4109 5283 7044 8218 10566 12327 16436 21132 24654 28763 36981 49308 57526 73962 86289 115052 147924 172578 258867 345156 517734 1035468 148198159 296396318 444594477 592792636 889188954 1037387113 1333783431 1778377908 2074774226 2667566862 3112161339 4149548452 5335133724 6224322678 7261709791 9336484017 12448645356 14523419582 18672968034 21785129373 29046839164 37345936068 43570258746 65355388119 86992319333 87140517492 130710776238 173984638666 260976957999 261421552476 347969277332 521953915998 608946235331 782930873997 1043907831996 1217892470662 1565861747994 1826838705993 2435784941324 3131723495988 3653677411986 4262623647317 5480516117979 7307354823972 8525247294634 10961032235958 12787870941951 17050494589268 21922064471916 25575741883902 38363612825853 51151483767804 76727225651706 153454451303412