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354243042023152 = 243727766114292287
BaseRepresentation
bin101000010001011101010001…
…0101011110001011011110000
31201110021022012200020120012011
41100202322202223301123300
5332412404222224220102
63253225001253412304
7134421133546300312
oct12042724253613360
91643238180216164
10354243042023152
11a29666a3141437
123389281203a094
1312287c8b300b29
146369651a537b2
152ae4a1b4ca2d7
hex1422ea2af16f0

354243042023152 has 160 divisors (see below), whose sum is σ = 709316615870720. Its totient is φ = 171257633648640.

The previous prime is 354243042023149. The next prime is 354243042023243. The reversal of 354243042023152 is 251320240342453.

It is a super-3 number, since 3×3542430420231523 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154894201753 + ... + 154894204039.

It is an arithmetic number, because the mean of its divisors is an integer number (4433228849192).

Almost surely, 2354243042023152 is an apocalyptic number.

It is an amenable number.

354243042023152 is an abundant number, since it is smaller than the sum of its proper divisors (355073573847568).

354243042023152 is a wasteful number, since it uses less digits than its factorization.

354243042023152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 354243042023152 in words is "three hundred fifty-four trillion, two hundred forty-three billion, forty-two million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 37 74 148 277 296 554 592 661 1108 1322 1429 2216 2287 2644 2858 4432 4574 5288 5716 9148 10249 10576 11432 18296 20498 22864 24457 36592 40996 48914 52873 81992 84619 97828 105746 163984 169238 183097 195656 211492 338476 366194 391312 395833 422984 633499 676952 732388 791666 845968 944569 1266998 1353904 1464776 1511707 1583332 1889138 2533996 2929552 3023414 3166664 3268123 3778276 5067992 6046828 6333328 6536246 6774589 7556552 10135984 12093656 13072492 13549178 14645821 15113104 23439463 24187312 26144984 27098356 29291642 34949053 46878926 52289968 54196712 55933159 58583284 69898106 93757852 108393424 111866318 117166568 120920551 139796212 187515704 223732636 234333136 241841102 261645613 279592424 375031408 418742839 447465272 483682204 523291226 559184848 837485678 894930544 905270071 967364408 1046582452 1674971356 1810540142 1934728816 2093164904 2160229303 3349942712 3621080284 4186329808 4320458606 6699885424 7242160568 8640917212 9680887681 14484321136 15493485043 17281834424 19361775362 30986970086 33494992627 34563668848 38723550724 61973940172 66989985254 77447101448 79928484211 123947880344 133979970508 154894202896 159856968422 247895760688 267959941016 319713936844 535919882032 598383516931 639427873688 1196767033862 1278855747376 2393534067724 4787068135448 9574136270896 22140190126447 44280380252894 88560760505788 177121521011576 354243042023152