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204014042210040 = 233529131447516983
BaseRepresentation
bin101110011000110010111000…
…100000111101111011111000
3222202100112220101012221100220
4232120302320200331323320
5203220031224301210130
62001522431312500040
760654346103200536
oct5630627040757370
9882315811187326
10204014042210040
115a006962213187
121aa6b355b4a620
1389ab598354c2a
143854491ca7156
15188bd17c19410
hexb98cb883def8

204014042210040 has 128 divisors (see below), whose sum is σ = 637980212390400. Its totient is φ = 52126778063360.

The previous prime is 204014042209981. The next prime is 204014042210047. The reversal of 204014042210040 is 40012240410402.

It is a super-3 number, since 3×2040140422100403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204014042210047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223302612 + ... + 224214371.

It is an arithmetic number, because the mean of its divisors is an integer number (4984220409300).

Almost surely, 2204014042210040 is an apocalyptic number.

204014042210040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014042210040 is an abundant number, since it is smaller than the sum of its proper divisors (433966170180360).

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

204014042210040 is a wasteful number, since it uses less digits than its factorization.

204014042210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447517157 (or 447517153 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204014042210040 its reverse (40012240410402), we get a palindrome (244026282620442).

The spelling of 204014042210040 in words is "two hundred four trillion, fourteen billion, forty-two million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 131 145 174 232 262 290 348 393 435 524 580 655 696 786 870 1048 1160 1310 1572 1740 1965 2620 3144 3480 3799 3930 5240 7598 7860 11397 15196 15720 18995 22794 30392 37990 45588 56985 75980 91176 113970 151960 227940 455880 447516983 895033966 1342550949 1790067932 2237584915 2685101898 3580135864 4475169830 5370203796 6712754745 8950339660 10740407592 12977992507 13425509490 17900679320 25955985014 26851018980 38933977521 51911970028 53702037960 58624724773 64889962535 77867955042 103823940056 117249449546 129779925070 155735910084 175874174319 194669887605 234498899092 259559850140 293123623865 311471820168 351748348638 389339775210 468997798184 519119700280 586247247730 703496697276 778679550420 879370871595 1172494495460 1406993394552 1557359100840 1700117018417 1758741743190 2344988990920 3400234036834 3517483486380 5100351055251 6800468073668 7034966972760 8500585092085 10200702110502 13600936147336 17001170184170 20401404221004 25501755276255 34002340368340 40802808442008 51003510552510 68004680736680 102007021105020 204014042210040