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31441577448444 = 22353127491792797
BaseRepresentation
bin1110010011000100100000…
…00011100001001111111100
311010022210012120222202220220
413021202100003201033330
513110114322311322234
6150512021122541340
76423402412463142
oct711422003411774
9133283176882826
1031441577448444
11a022330875789
123639708807850
131470c0ab66807
147a9acd867592
15397d03167a49
hex1c98900e13fc

31441577448444 has 96 divisors (see below), whose sum is σ = 75489997234176. Its totient is φ = 10181022808320.

The previous prime is 31441577448443. The next prime is 31441577448467. The reversal of 31441577448444 is 44484477514413.

It is a happy number.

It is a super-2 number, since 2×314415774484442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441577448443) 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, 39262654 + ... + 40055450.

It is an arithmetic number, because the mean of its divisors is an integer number (786354137856).

Almost surely, 231441577448444 is an apocalyptic number.

It is an amenable number.

31441577448444 is an abundant number, since it is smaller than the sum of its proper divisors (44048419785732).

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

31441577448444 is a wasteful number, since it uses less digits than its factorization.

31441577448444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793475 (or 793473 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 60.

The spelling of 31441577448444 in words is "thirty-one trillion, four hundred forty-one billion, five hundred seventy-seven million, four hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 53 106 127 159 212 254 318 381 491 508 636 762 982 1473 1524 1964 2946 5892 6731 13462 20193 26023 26924 40386 52046 62357 78069 80772 104092 124714 156138 187071 249428 312276 374142 748284 792797 1585594 2378391 3171188 3304921 4756782 6609842 9513564 9914763 13219684 19829526 39659052 42018241 84036482 100685219 126054723 168072964 201370438 252109446 302055657 389263327 402740876 504218892 604111314 778526654 1167789981 1208222628 1557053308 2335579962 4671159924 5336316607 10672633214 16008949821 20630956331 21345266428 32017899642 41261912662 49436442529 61892868993 64035799284 82523825324 98872885058 123785737986 148309327587 197745770116 247571475972 296618655174 593237310348 2620131454037 5240262908074 7860394362111 10480525816148 15720788724222 31441577448444