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345632441456232 = 23347756791006853
BaseRepresentation
bin100111010010110011101001…
…0111001010101011001101000
31200022210010202010011111210000
41032211213102321111121220
5330300320220003044412
63223033203540223000
7132542056051141110
oct11645472271253150
91608703663144700
10345632441456232
11a01469936458a7
1232921a7139aa60
1311ab1ccb828388
14614c9b1318040
1529e5a5dc584dc
hex13a59d2e55668

345632441456232 has 160 divisors (see below), whose sum is σ = 1106405279654400. Its totient is φ = 98750723170176.

The previous prime is 345632441456189. The next prime is 345632441456257. The reversal of 345632441456232 is 232654144236543.

It is a happy number.

345632441456232 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 3 + 2 + 4 + 4 + 1 + 4 + 5 + 623 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342776518 + ... + 343783370.

It is an arithmetic number, because the mean of its divisors is an integer number (6915032997840).

Almost surely, 2345632441456232 is an apocalyptic number.

It is an amenable number.

345632441456232 is an abundant number, since it is smaller than the sum of its proper divisors (760772838198168).

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

345632441456232 is a wasteful number, since it uses less digits than its factorization.

345632441456232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082557 (or 1082544 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 345632441456232 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 75679 151358 227037 302716 454074 529753 605432 681111 908148 1006853 1059506 1362222 1589259 1816296 2013706 2043333 2119012 2724444 3020559 3178518 4027412 4086666 4238024 4767777 5448888 6041118 6129999 6357036 7047971 8054824 8173332 9061677 9535554 12082236 12259998 12714072 14095942 14303331 16346664 18123354 19071108 21143913 24164472 24519996 27185031 28191884 28606662 36246708 38142216 42287826 42909993 49039992 54370062 56383768 57213324 63431739 72493416 81555093 84575652 85819986 108740124 114426648 126863478 163110186 169151304 171639972 190295217 217480248 253726956 326220372 343279944 380590434 507453912 570885651 652440744 761180868 1141771302 1522361736 2283542604 4567085208 76197628187 152395256374 228592884561 304790512748 457185769122 533383397309 609581025496 685778653683 914371538244 1066766794618 1371557307366 1600150191927 1828743076488 2057335961049 2133533589236 2743114614732 3200300383854 4114671922098 4267067178472 4800450575781 5486229229464 6172007883147 6400600767708 8229343844196 9600901151562 12344015766294 12801201535416 14401351727343 16458687688392 19201802303124 24688031532588 28802703454686 38403604606248 43204055182029 49376063065176 57605406909372 86408110364058 115210813818744 172816220728116 345632441456232