Search a number
-
+
345503132400150 = 2325214711285340609
BaseRepresentation
bin100111010001110111011011…
…1011110011011101000010110
31200022022202222100100212000200
41032203232313132123220112
5330241210403343301100
63222453540422321330
7132526530464246364
oct11643566736335026
91608282870325020
10345503132400150
11a00a7067aa00aa
12329009a3b89246
1311aa2a61b41bca
14614662590a634
1529e24e18c8e00
hex13a3bb779ba16

345503132400150 has 144 divisors (see below), whose sum is σ = 928977928869120. Its totient is φ = 92062104422400.

The previous prime is 345503132400143. The next prime is 345503132400191. The reversal of 345503132400150 is 51004231305543.

345503132400150 is a `hidden beast` number, since 3 + 4 + 5 + 50 + 313 + 240 + 0 + 1 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8508023046 + ... + 8508063654.

Almost surely, 2345503132400150 is an apocalyptic number.

345503132400150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345503132400150 is an abundant number, since it is smaller than the sum of its proper divisors (583474796468970).

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

345503132400150 is a wasteful number, since it uses less digits than its factorization.

345503132400150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54951 (or 54943 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 345503132400150 its reverse (51004231305543), we get a palindrome (396507363705693).

The spelling of 345503132400150 in words is "three hundred forty-five trillion, five hundred three billion, one hundred thirty-two million, four hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1471 2942 4413 7355 8826 12853 13239 14710 22065 25706 26478 36775 38559 40609 44130 64265 66195 73550 77118 81218 110325 115677 121827 128530 132390 192795 203045 220650 231354 243654 321325 330975 365481 385590 406090 578385 609135 642650 661950 730962 963975 1015225 1156770 1218270 1827405 1927950 2030450 2891925 3045675 3654810 5783850 6091350 9137025 18274050 18906763 37813526 56720289 59735839 94533815 113440578 119471678 170160867 179207517 189067630 283601445 298679195 340321734 358415034 472669075 521947477 537622551 567202890 597358390 850804335 896037585 945338150 1043894954 1075245102 1418007225 1493395975 1565842431 1701608670 1792075170 2609737385 2688112755 2836014450 2986791950 3131684862 4254021675 4480187925 4697527293 5219474770 5376225510 7829212155 8508043350 8960375850 9395054586 13048686925 13440563775 15658424310 23487636465 26097373850 26881127550 39146060775 46975272930 78292121550 117438182325 234876364650 767784738667 1535569477334 2303354216001 3838923693335 4606708432002 6910062648003 7677847386670 11516771080005 13820125296006 19194618466675 23033542160010 34550313240015 38389236933350 57583855400025 69100626480030 115167710800050 172751566200075 345503132400150