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243432431004 = 223723719495741
BaseRepresentation
bin1110001010110110110…
…1000001110110011100
3212021100020001210011010
43202231231001312130
512442022200243004
6303455321455220
723405324344200
oct3425555016634
9767306053133
10243432431004
119426a296484
123b219041510
1319c56540ba9
14bad449cb00
1564eb46ca89
hex38adb41d9c

243432431004 has 144 divisors (see below), whose sum is σ = 679069591200. Its totient is φ = 67625832960.

The previous prime is 243432430991. The next prime is 243432431059. The reversal of 243432431004 is 400134234342.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42399574 + ... + 42405314.

It is an arithmetic number, because the mean of its divisors is an integer number (4715761050).

Almost surely, 2243432431004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243432431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339534795600).

243432431004 is an abundant number, since it is smaller than the sum of its proper divisors (435637160196).

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

243432431004 is a wasteful number, since it uses less digits than its factorization.

243432431004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 243432431004 its reverse (400134234342), we get a palindrome (643566665346).

The spelling of 243432431004 in words is "two hundred forty-three billion, four hundred thirty-two million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 1949 3108 3626 3898 5439 5741 5847 7252 7796 10878 11482 11694 13643 17223 21756 22964 23388 27286 34446 40187 40929 54572 68892 72113 80374 81858 95501 120561 144226 160748 163716 191002 212417 216339 241122 281309 286503 288452 382004 424834 432678 482244 504791 562618 573006 637251 843927 849668 865356 1009582 1125236 1146012 1274502 1486919 1514373 1687854 2019164 2549004 2973838 3028746 3375708 3533537 4460757 5947676 6057492 7067074 8921514 10408433 10600611 11189209 14134148 17843028 20816866 21201222 22378418 31225299 33567627 41633732 42402444 44756836 62450598 67135254 78324463 124901196 134270508 156648926 234973389 313297852 414000733 469946778 548271241 828001466 939893556 1096542482 1242002199 1644813723 1656002932 2193084964 2484004398 2898005131 3289627446 4968008796 5796010262 6579254892 8694015393 11592020524 17388030786 20286035917 34776061572 40572071834 60858107751 81144143668 121716215502 243432431004